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Okado, Masato

Co-Author Distance
Author ID:
okado.masato Recent zbMATH articles by "Okado, Masato"
Published as:
Okado, Masato;Okado, M.
alltop 5

Co-Authors

6single-authored
48 Kuniba, Atsuo
20 Jimbo, Michio
17 Miwa, Tetsuji
13 Date, Etsuro
12 Schilling, Anne
12 Takagi, Taichiro
10 Misra, Kailash C.
8 Yamada, Yasuhiko
7 Hatayama, Goro
7 Maruyama, Shouya
7 Shimozono, Mark
6 Foda, Omar
6 Sakamoto, Reiho
4 Leclerc, Bernard
4 Thibon, Jean-Yves
4 Uchiyama, Jun
3 Fourier, Ghislain
3 Kashiwara, Masaki
3 Kwon, Jae-Hoon
3 Scrimshaw, Travis
3 Welsh, Trevor A.
2 Kusano, Hiroto
2 Lecouvey, Cédric
2 Nakashima, Toshiki
2 Sergeev, Sergeĭ Mikhaĭlovich
2 Takenaka, Ryo
2 Yoneyama, Akihito
1 Ariki, Susumu
1 Feĭgin, Boris L’vovich
1 Fukuda, Kaori
1 Inoue, Rei
1 Jing, Naihuan
1 Kirillov, Anatol N.
1 Koga, Yoshiyuki
1 Lee, Sin-Myung
1 Lyu, Hanbaek
1 Mangazeev, Vladimir V.
1 Miki, Kei
1 Mohamad, Mahathir Bin
1 Nakanishi, Tomoki
1 Sano, Nobumasa
1 Suzuki, Junji
1 Takeyama, Yoshihiro
1 Tsuboi, Zengo
1 Warnaar, S. Ole
1 Watanabe, Hideya
1 Wilson, Evan A.
1 Yamada, Daisuke
1 Yamane, Hiroyuki
alltop 5

Serials

12 Communications in Mathematical Physics
8 Letters in Mathematical Physics
7 Journal of Physics A: Mathematical and Theoretical
6 Nuclear Physics. B
6 Journal of Algebra
5 International Journal of Modern Physics A
4 Journal of Mathematical Physics
3 Advances in Mathematics
3 Representation Theory
3 Algebras and Representation Theory
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 RIMS Kôkyûroku Bessatsu
3 Journal of Integrable Systems
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 IMRN. International Mathematics Research Notices
2 Journal of Algebraic Combinatorics
1 Modern Physics Letters B
1 Communications in Algebra
1 Journal of Statistical Physics
1 Reviews in Mathematical Physics
1 Mathematische Zeitschrift
1 Transactions of the American Mathematical Society
1 Sūgaku
1 Sugaku Expositions
1 Journal of Physics A: Mathematical and General
1 Comptes Rendus de l’Académie des Sciences. Série I
1 RIMS Kokyuroku
1 Journal of Nonlinear Mathematical Physics
1 MSJ Memoirs

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 1,520 times in734 DocumentsCited byYear
Remarks on fermionic formula. Zbl 1032.81015
Hatayama, G.;Kuniba, A.;Okado, M.;Takagi, T.;Yamada, Y.
1999
Paths, crystals and fermionic formulae. Zbl 1016.17011
Hatayama, Goro;Kuniba, Atsuo;Okado, Masato;Takagi, Taichiro;Tsuboi, Zengo
2002
Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\). Zbl 0749.17015
Jimbo, Michio;Misra, Kailash C.;Miwa, Tetsuji;Okado, Masato
1991
Exactly solvable SOS models. Local height probabilities and theta function identities. Zbl 0679.17010
Date, E.;Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1987
Solvable lattice models related to the vector representation of classical simple Lie algebras. Zbl 0642.17016
Jimbo, Michio;Miwa, Tetsuji;Okado, Masato
1988
Exactly solvable SOS models. II: Proof of the star-triangle relation and combinatorial identities. Zbl 0679.17011
Date, E.;Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1988
Existence of Kirillov–Reshetikhin crystals for nonexceptional types. Zbl 1243.17009
Okado, Masato;Schilling, Anne
2008
Branching functions of \(A_{n-1}^{(1)}\) and Jantzen-Seitz problem for Ariki-Koike algebras. Zbl 0930.17023
Foda, Omar;Leclerc, Bernard;Okado, Masato;Thibon, Jean-Yves;Welsh, Trevor A.
1999
Stochastic \(R\) matrix for \(\operatorname{U}_q(A_n^{(1)})\). Zbl 1349.81115
Kuniba, A.;Mangazeev, V. V.;Maruyama, S.;Okado, M.
2016
Solvable lattice models whose states are dominant integral weights of \(A^{(1)}_{n-1}\). Zbl 0642.17015
Jimbo, Michio;Miwa, Tetsuji;Okado, Masato
1987
Kirillov-Reshetikhin crystals for nonexceptional types. Zbl 1239.17007
Fourier, Ghislain;Okado, Masato;Schilling, Anne
2009
The \(A_ n^{(1)}\) face models. Zbl 0667.17008
Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1988
Virtual crystals and fermionic formulas of type \(D_{n+1}^{(2)}\), \(A_{2n}^{(2)}\), and \(C_n^{(1)}\). Zbl 1026.81024
Okado, Masato;Schilling, Anne;Shimozono, Mark
2003
Energy functions in box ball systems. Zbl 0980.37029
Fukuda, Kaori;Yamada, Yasuhiko;Okado, Masato
2000
Character formulae of \(\widehat{\text{sl}}_n\)-modules and inhomogeneous paths. Zbl 0952.17013
Hatayama, Goro;Kirillov, Anatol N.;Kuniba, Atsuo;Okado, Masato;Takagi, Taichiro
1999
One-dimensional configuration sums in vertex models and affine Lie algebra characters. Zbl 0681.17016
Date, E.;Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1989
Virtual crystals and Kleber’s algorithm. Zbl 1052.17009
Okado, Masato;Schilling, Anne;Shimozono, Mark
2003
Perfect crystals for \(U_q(D_4^{(3)})\). Zbl 1140.17012
Kashiwara, M.;Misra, K. C.;Okado, M.;Yamada, D.
2007
Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection. Zbl 1109.81043
Kuniba, Atsuo;Okado, Masato;Sakamoto, Reiho;Takagi, Taichiro;Yamada, Yasuhiko
2006
A crystal to rigged configuration bijection for nonexceptional affine algebras. Zbl 1090.17006
Okado, Masato;Schilling, Anne;Shimozono, Mark
2003
Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types. Zbl 1267.17012
Fourier, Ghislain;Okado, Masato;Schilling, Anne
2010
Tetrahedron equation and generalized quantum groups. Zbl 1394.16043
Kuniba, Atsuo;Okado, Masato;Sergeev, Sergey
2015
Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010
Kashiwara, Masaki;Nakashima, Toshiki;Okado, Masato
2008
\(q\)-wedge modules for quantized enveloping algebras of classical type. Zbl 1024.17012
Jing, Naihuan;Misra, Kailash C.;Okado, Masato
2000
Multispecies TASEP and the tetrahedron equation. Zbl 1342.82108
Kuniba, Atsuo;Maruyama, Shouya;Okado, Masato
2016
Crystals for Demazure modules of classical affine Lie algebras. Zbl 0974.17028
Kuniba, Atsuo;Misra, Kailash C.;Okado, Masato;Takagi, Taichiro;Uchiyama, Jun
1998
Paths, Maya diagrams and representations of \(\widehat{\mathfrak{sl}}(r,\mathbb{C})\). Zbl 0704.17013
Date, Etsuro;Jimbo, Michio;Kuniba, Atsuo;Miwa, Tetsuji;Okado, Masato
1989
Calculation of excitation spectra of the spin model related with the vector representation of the quantized affine algebra of type \(A_n^{(1)}\). Zbl 0905.17004
Date, Etsuro;Okado, Masato
1994
Crystal base and \(q\)-vertex operators. Zbl 0790.17007
Date, Etsuro;Jimbo, Michio;Okado, Masato
1993
Calculation of excitation spectra of the spin model related with the vector representation of the quantized affine algebra of type \(A^{(1)}_n\). Zbl 0986.82500
Date, Etsurō;Okado, Masato
1994
Tetrahedron and 3D reflection equations from quantized algebra of functions. Zbl 1258.81055
Kuniba, Atsuo;Okado, Masato
2012
Multispecies TASEP and combinatorial \(R\). Zbl 1326.60139
Kuniba, Atsuo;Maruyama, Shouya;Okado, Masato
2015
Tropical \(R\) maps and affine geometric crystals. Zbl 1220.17006
Kashiwara, Masaki;Nakashima, Toshiki;Okado, Masato
2010
Quantum R matrices related to the spin representations of \(B_ n\) and \(D_ n\). Zbl 0722.17008
Okado, Masato
1990
\(R\)-matrices with gauge parameters and multi-parameter quantized enveloping algebras. Zbl 0774.17022
Okado, Masato;Yamane, Hiroyuki
1991
Affine crystal structure on rigged configurations of type \(D_{n}^{(1)}\). Zbl 1270.17007
Okado, Masato;Sakamoto, Reiho;Schilling, Anne
2013
A tensor product theorem related to perfect crystals. Zbl 1039.17017
Okado, Masato;Schilling, Anne;Shimozono, Mark
2003
Affine crystals, one-dimensional sums and parabolic Lusztig \(q\)-analogues. Zbl 1251.17009
Lecouvey, Cédric;Okado, Masato;Shimozono, Mark
2012
Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations of \(U_q(A^{(2)}_{2n})\), \(U_q(C^{(1)}_n)\) and \(U_q(D^{(2)}_{n+1})\). Zbl 1308.81113
Kuniba, Atsuo;Okado, Masato
2015
Inhomogeneous generalization of a multispecies totally asymmetric zero range process. Zbl 1348.82056
Kuniba, Atsuo;Maruyama, Shouya;Okado, Masato
2016
Demazure modules and perfect crystals. Zbl 0908.17009
Kuniba, Atsuo;Misra, Kailash C.;Okado, Masato;Uchiyama, Jun
1998
Box-ball system with reflecting end. Zbl 1090.37008
Kuniba, Atsuo;Okado, Masato;Yamada, Yasuhiko
2005
Geometric crystal and tropical \(R\) for \(D_n^{(1)}\). Zbl 1052.17005
Kuniba, A.;Okado, M.;Takagi, T.;Yamada, Y.
2003
Existence of crystal bases for Kirillov-Reshetikhin modules of type \(D\). Zbl 1149.17009
Okado, Masato
2007
An \(A^{(1)}_{n-1}\) family of solvable lattice models. Zbl 0663.17011
Jimbo, M.;Miwa, T.;Okado, M.
1987
Characters of Demazure modules and solvable lattice models. Zbl 0953.17007
Kuniba, Atsuo;Misra, Kailash C.;Okado, Masato;Takagi, Taichiro;Uchiyama, Jun
1998
Difference \(L\) operators related to \(q\)-characters. Zbl 1012.17009
Kuniba, A.;Okado, M.;Suzuki, J.;Yamada, Y.
2002
Type \(D_n^{(1)}\) rigged configuration bijection. Zbl 1371.05316
Okado, Masato;Sakamoto, Reiho;Schilling, Anne;Scrimshaw, Travis
2017
A common structure in PBW bases of the nilpotent subalgebra of \(U_q(\mathfrak g)\) and quantized algebra of functions. Zbl 1305.17013
Kuniba, Atsuo;Okado, Masato;Yamada, Yasuhiko
2013
KKR type bijection for the exceptional affine algebra \(E_6^{(1)}\). Zbl 1352.17020
Okado, Masato;Sano, Nobumasa
2012
Crystal bases and \(q\)-identities. Zbl 1020.17011
Okado, Masato;Schilling, Anne;Shimozone, Mark
2001
Paths, Demazure crystals, and symmetric functions. Zbl 0971.17006
Kuniba, Atsuo;Misra, Kailash C.;Okado, Masato;Takagi, Taichiro;Uchiyama, Jun
2000
Simplicity and similarity of Kirillov-Reshetikhin crystals. Zbl 1327.17013
Okado, Masato
2013
Multispecies totally asymmetric zero range process. I. Multiline process and combinatorial \(R\). Zbl 1400.37096
Kuniba, Atsuo;Maruyama, Shouya;Okado, Masato
2016
Matrix product solution to the reflection equation associated with a coideal subalgebra of \(U_q(A^{(1)}_{n-1})\). Zbl 1440.17011
Kuniba, Atsuo;Okado, Masato;Yoneyama, Akihito
2019
Randomized box-ball systems, limit shape of rigged configurations and thermodynamic Bethe Ansatz. Zbl 1402.82019
Kuniba, Atsuo;Lyu, Hanbaek;Okado, Masato
2018
Demazure modules and vertex models: the \(\widehat{\text{sl}}(2)\) case. Zbl 1056.17501
Foda, Omar;Misra, Kailash C.;Okado, Masato
1998
Finite crystals and paths. Zbl 1008.17009
Hatayama, Goro;Koga, Yoshiyuki;Kuniba, Atsuo;Okado, Masato;Takagi, Taichiro
2000
Zero action on perfect crystals for \(U_q(G_2^{(1)})\). Zbl 1241.17017
Misra, Kailash C.;Mohamad, Mahathir;Okado, Masato
2010
Multispecies totally asymmetric zero range process. II. Hat relation and tetrahedron equation. Zbl 1400.37090
Kuniba, Atsuo;Maruyama, Shouya;Okado, Masato
2016
Matrix product formula for \(U_{q}(A_{2}^{(1)})\) -zero range process. Zbl 1357.81122
Kuniba, Atsuo;Okado, Masato
2017
Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types. Zbl 1437.17008
Okado, Masato;Schilling, Anne;Scrimshaw, Travis
2018
A new realization of the basic representation of \(A_n^{(1)}\). Zbl 0679.17012
Date, E.;Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1989
Solvable lattice models. Zbl 0681.17014
Date, Etsuro;Jimbo, Michio;Miwa, Tetsuji;Okado, Masato
1989
Combinatorial \(R\) matrices for a family of crystals: \(B_n^{(1)}\), \(D_n^{(1)}\), \(A_{2n}^{(2)}\) and \(D_{n+1}^{(2)}\) cases. Zbl 1020.17010
Hatayama, Goro;Kuniba, Atsuo;Okado, Masato;Takagi, Taichiro
2002
Combinatorial \(R\) matrices for a family of crystals: \(C_n^{(1)}\) and \(A_{2n-1}^{(2)}\) cases. Zbl 0976.17009
Hatayama, Goro;Kuniba, Atsuo;Okado, Masato;Takagi, Taichiro
2000
Soliton cellular automaton associated with \(G_2^{(1)}\) crystal base. Zbl 1273.37008
Misra, Kailash C.;Okado, Masato;Wilson, Evan A.
2012
\(X=M\) conjecture. Zbl 1225.17017
Okado, Masato
2007
Solvable face models related to the Lie superalgebra sl(m\(| n)\). Zbl 0726.17007
Okado, Masato
1991
Path space realization of the basic representation of \(A^{(1)}_ n\). Zbl 0744.17030
Date, E.;Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1989
A quantization of box-ball systems. Zbl 1088.81061
Inoue, R.;Kuniba, A.;Okado, M.
2004
Excitation spectra of spin models constructed from quantized affine algebras of types \(B^{(1)}_ n\) and \(D^{(1)}_ n\). Zbl 1044.82533
Davies, Brian;Okado, Masato
1996
Tropical \(R\) and tau functions. Zbl 1085.17017
Kuniba, A.;Okado, M.;Takagi, T.;Yamada, Y.
2004
A proof of polynomial identities of type \(\widehat{sl}(n)_ 1\otimes \widehat{sl}(n)_ 1/\widehat{sl}(n)_ 2\). Zbl 0881.17022
Foda, Omar;Okado, Masato;Warnaar, S. Ole
1996
Combinatorial \(R\)-matrices for Kirillov-Reshetikhin crystals of type \(D^{(1)}_n, B^{(1)}_n, A^{(2)}_{2n-1}\). Zbl 1242.17019
Okado, Masato;Sakamoto, Reiho
2010
A \(q\)-boson representation of Zamolodchikov-Faddeev algebra for stochastic \(R\) matrix of \(U_q(A^{(1)}_n)\). Zbl 1369.16033
Kuniba, Atsuo;Okado, Masato
2017
Kirillov-Reshetikhin modules of generalized quantum groups of type \(A\). Zbl 1495.17025
Kwon, Jae-Hoon;Okado, Masato
2021
Tetrahedron equation and quantum \(R\) matrices for infinite-dimensional modules of \(\mathrm{U}_q(A^{(1)}_1)\) and \(\mathrm{U}_q (A^{(2)}_2)\). Zbl 1280.81072
Kuniba, Atsuo;Okado, Masato
2013
Tetrahedron equation and quantum \(R\) matrices for modular double of \(U_q(D^{(2)}_{n+1}), U_q (A ^{(2)}_{2n})\) and \(U_q(C^{(1)}_{n})\). Zbl 1310.17014
Kuniba, Atsuo;Okado, Masato;Sergeev, Sergey
2015
Set-theoretical solutions to the reflection equation associated to the quantum affine algebra of type \(A^{(1)}_{n-1}\). Zbl 1481.37084
Kuniba, Atsuo;Okado, Masato
2019
Reflection \(K\) matrices associated with an Onsager coideal of \(U_p(A^{(1)}_{n-1})\), \(U_p(B^{(1)}_n)\), \(U_p(D^{(1)}_n)\) and \(U_p(B^{(2)}_{n+1})\). Zbl 1507.17031
Kuniba, Atsuo;Okado, Masato;Yoneyama, Akihito
2019
Higher level \(q\)-oscillator representations for \(U_q(C_n^{(1)})\), \(U_q(C^{(2)}(n+1))\) and \(U_q(B^{(1)}(0,n))\). Zbl 1467.81044
Kwon, Jae-Hoon;Okado, Masato
2021
Parafermionic bases of standard modules for twisted affine Lie algebras of type \(A_{2l-1}^{(2)}\), \(D_{L+1}^{(2)}\), \(E_6^{(2)}\) and \(D_4^{(3)}\). Zbl 1547.17048
Okado, Masato;Takenaka, Ryo
2023
\(X=K\) under review. Zbl 1239.17012
Lecouvey, Cédric;Okado, Masato;Shimozono, Mark
2011
RSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unity. Zbl 0895.20009
Foda, Omar;Leclerc, Bernard;Okado, Masato;Thibon, Jean-Yves;Welsh, Trevor A.
1998
Combinatorics of solvable lattice models, and modular representations of Hecke algebras. Zbl 0918.17021
Foda, O.;Leclerc, B.;Okado, M.;Thibon, J.-Y.;Welsh, T. A.
1998
A solution of the 3D reflection equation from quantized algebra of functions of type \(B\). Zbl 1296.81036
Kuniba, Atsuo;Okado, Masato
2013
Stable rigged configurations for quantum affine algebras of nonexceptional types. Zbl 1234.17011
Okado, Masato;Sakamoto, Reiho
2011
Integrable structure of multispecies zero range process. Zbl 1367.81089
Kuniba, Atsuo;Okado, Masato;Watanabe, Satoshi
2017
Solvable lattice models in two dimensions and modular functions. Zbl 0684.17013
Okado, Masato;Jimbo, Michio;Miwa, Tetsuji
1989
Symmetric tensors of the \(A^{(1)}_{n-1}\) family. Zbl 0674.17004
Jimbo, Michio;Miwa, Tetsuji;Okado, Masato
1989
Similarity and Kirillov-Schilling-Shimozono bijection. Zbl 1412.05027
Okado, Masato
2016
Parafermionic bases of standard modules for twisted affine Lie algebras of type \(A_{2l-1}^{(2)}\), \(D_{L+1}^{(2)}\), \(E_6^{(2)}\) and \(D_4^{(3)}\). Zbl 1547.17048
Okado, Masato;Takenaka, Ryo
2023
Kirillov-Reshetikhin modules of generalized quantum groups of type \(A\). Zbl 1495.17025
Kwon, Jae-Hoon;Okado, Masato
2021
Higher level \(q\)-oscillator representations for \(U_q(C_n^{(1)})\), \(U_q(C^{(2)}(n+1))\) and \(U_q(B^{(1)}(0,n))\). Zbl 1467.81044
Kwon, Jae-Hoon;Okado, Masato
2021
Matrix product solution to the reflection equation associated with a coideal subalgebra of \(U_q(A^{(1)}_{n-1})\). Zbl 1440.17011
Kuniba, Atsuo;Okado, Masato;Yoneyama, Akihito
2019
Set-theoretical solutions to the reflection equation associated to the quantum affine algebra of type \(A^{(1)}_{n-1}\). Zbl 1481.37084
Kuniba, Atsuo;Okado, Masato
2019
Reflection \(K\) matrices associated with an Onsager coideal of \(U_p(A^{(1)}_{n-1})\), \(U_p(B^{(1)}_n)\), \(U_p(D^{(1)}_n)\) and \(U_p(B^{(2)}_{n+1})\). Zbl 1507.17031
Kuniba, Atsuo;Okado, Masato;Yoneyama, Akihito
2019
Randomized box-ball systems, limit shape of rigged configurations and thermodynamic Bethe Ansatz. Zbl 1402.82019
Kuniba, Atsuo;Lyu, Hanbaek;Okado, Masato
2018
Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types. Zbl 1437.17008
Okado, Masato;Schilling, Anne;Scrimshaw, Travis
2018
Type \(D_n^{(1)}\) rigged configuration bijection. Zbl 1371.05316
Okado, Masato;Sakamoto, Reiho;Schilling, Anne;Scrimshaw, Travis
2017
Matrix product formula for \(U_{q}(A_{2}^{(1)})\) -zero range process. Zbl 1357.81122
Kuniba, Atsuo;Okado, Masato
2017
A \(q\)-boson representation of Zamolodchikov-Faddeev algebra for stochastic \(R\) matrix of \(U_q(A^{(1)}_n)\). Zbl 1369.16033
Kuniba, Atsuo;Okado, Masato
2017
Integrable structure of multispecies zero range process. Zbl 1367.81089
Kuniba, Atsuo;Okado, Masato;Watanabe, Satoshi
2017
Stochastic \(R\) matrix for \(\operatorname{U}_q(A_n^{(1)})\). Zbl 1349.81115
Kuniba, A.;Mangazeev, V. V.;Maruyama, S.;Okado, M.
2016
Multispecies TASEP and the tetrahedron equation. Zbl 1342.82108
Kuniba, Atsuo;Maruyama, Shouya;Okado, Masato
2016
Inhomogeneous generalization of a multispecies totally asymmetric zero range process. Zbl 1348.82056
Kuniba, Atsuo;Maruyama, Shouya;Okado, Masato
2016
Multispecies totally asymmetric zero range process. I. Multiline process and combinatorial \(R\). Zbl 1400.37096
Kuniba, Atsuo;Maruyama, Shouya;Okado, Masato
2016
Multispecies totally asymmetric zero range process. II. Hat relation and tetrahedron equation. Zbl 1400.37090
Kuniba, Atsuo;Maruyama, Shouya;Okado, Masato
2016
Similarity and Kirillov-Schilling-Shimozono bijection. Zbl 1412.05027
Okado, Masato
2016
Tetrahedron equation and generalized quantum groups. Zbl 1394.16043
Kuniba, Atsuo;Okado, Masato;Sergeev, Sergey
2015
Multispecies TASEP and combinatorial \(R\). Zbl 1326.60139
Kuniba, Atsuo;Maruyama, Shouya;Okado, Masato
2015
Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations of \(U_q(A^{(2)}_{2n})\), \(U_q(C^{(1)}_n)\) and \(U_q(D^{(2)}_{n+1})\). Zbl 1308.81113
Kuniba, Atsuo;Okado, Masato
2015
Tetrahedron equation and quantum \(R\) matrices for modular double of \(U_q(D^{(2)}_{n+1}), U_q (A ^{(2)}_{2n})\) and \(U_q(C^{(1)}_{n})\). Zbl 1310.17014
Kuniba, Atsuo;Okado, Masato;Sergeev, Sergey
2015
Affine crystal structure on rigged configurations of type \(D_{n}^{(1)}\). Zbl 1270.17007
Okado, Masato;Sakamoto, Reiho;Schilling, Anne
2013
A common structure in PBW bases of the nilpotent subalgebra of \(U_q(\mathfrak g)\) and quantized algebra of functions. Zbl 1305.17013
Kuniba, Atsuo;Okado, Masato;Yamada, Yasuhiko
2013
Simplicity and similarity of Kirillov-Reshetikhin crystals. Zbl 1327.17013
Okado, Masato
2013
Tetrahedron equation and quantum \(R\) matrices for infinite-dimensional modules of \(\mathrm{U}_q(A^{(1)}_1)\) and \(\mathrm{U}_q (A^{(2)}_2)\). Zbl 1280.81072
Kuniba, Atsuo;Okado, Masato
2013
A solution of the 3D reflection equation from quantized algebra of functions of type \(B\). Zbl 1296.81036
Kuniba, Atsuo;Okado, Masato
2013
Tetrahedron and 3D reflection equations from quantized algebra of functions. Zbl 1258.81055
Kuniba, Atsuo;Okado, Masato
2012
Affine crystals, one-dimensional sums and parabolic Lusztig \(q\)-analogues. Zbl 1251.17009
Lecouvey, Cédric;Okado, Masato;Shimozono, Mark
2012
KKR type bijection for the exceptional affine algebra \(E_6^{(1)}\). Zbl 1352.17020
Okado, Masato;Sano, Nobumasa
2012
Soliton cellular automaton associated with \(G_2^{(1)}\) crystal base. Zbl 1273.37008
Misra, Kailash C.;Okado, Masato;Wilson, Evan A.
2012
\(X=K\) under review. Zbl 1239.17012
Lecouvey, Cédric;Okado, Masato;Shimozono, Mark
2011
Stable rigged configurations for quantum affine algebras of nonexceptional types. Zbl 1234.17011
Okado, Masato;Sakamoto, Reiho
2011
Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types. Zbl 1267.17012
Fourier, Ghislain;Okado, Masato;Schilling, Anne
2010
Tropical \(R\) maps and affine geometric crystals. Zbl 1220.17006
Kashiwara, Masaki;Nakashima, Toshiki;Okado, Masato
2010
Zero action on perfect crystals for \(U_q(G_2^{(1)})\). Zbl 1241.17017
Misra, Kailash C.;Mohamad, Mahathir;Okado, Masato
2010
Combinatorial \(R\)-matrices for Kirillov-Reshetikhin crystals of type \(D^{(1)}_n, B^{(1)}_n, A^{(2)}_{2n-1}\). Zbl 1242.17019
Okado, Masato;Sakamoto, Reiho
2010
Kirillov-Reshetikhin crystals for nonexceptional types. Zbl 1239.17007
Fourier, Ghislain;Okado, Masato;Schilling, Anne
2009
Existence of Kirillov–Reshetikhin crystals for nonexceptional types. Zbl 1243.17009
Okado, Masato;Schilling, Anne
2008
Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010
Kashiwara, Masaki;Nakashima, Toshiki;Okado, Masato
2008
Perfect crystals for \(U_q(D_4^{(3)})\). Zbl 1140.17012
Kashiwara, M.;Misra, K. C.;Okado, M.;Yamada, D.
2007
Existence of crystal bases for Kirillov-Reshetikhin modules of type \(D\). Zbl 1149.17009
Okado, Masato
2007
\(X=M\) conjecture. Zbl 1225.17017
Okado, Masato
2007
Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection. Zbl 1109.81043
Kuniba, Atsuo;Okado, Masato;Sakamoto, Reiho;Takagi, Taichiro;Yamada, Yasuhiko
2006
Box-ball system with reflecting end. Zbl 1090.37008
Kuniba, Atsuo;Okado, Masato;Yamada, Yasuhiko
2005
A quantization of box-ball systems. Zbl 1088.81061
Inoue, R.;Kuniba, A.;Okado, M.
2004
Tropical \(R\) and tau functions. Zbl 1085.17017
Kuniba, A.;Okado, M.;Takagi, T.;Yamada, Y.
2004
Virtual crystals and fermionic formulas of type \(D_{n+1}^{(2)}\), \(A_{2n}^{(2)}\), and \(C_n^{(1)}\). Zbl 1026.81024
Okado, Masato;Schilling, Anne;Shimozono, Mark
2003
Virtual crystals and Kleber’s algorithm. Zbl 1052.17009
Okado, Masato;Schilling, Anne;Shimozono, Mark
2003
A crystal to rigged configuration bijection for nonexceptional affine algebras. Zbl 1090.17006
Okado, Masato;Schilling, Anne;Shimozono, Mark
2003
A tensor product theorem related to perfect crystals. Zbl 1039.17017
Okado, Masato;Schilling, Anne;Shimozono, Mark
2003
Geometric crystal and tropical \(R\) for \(D_n^{(1)}\). Zbl 1052.17005
Kuniba, A.;Okado, M.;Takagi, T.;Yamada, Y.
2003
Paths, crystals and fermionic formulae. Zbl 1016.17011
Hatayama, Goro;Kuniba, Atsuo;Okado, Masato;Takagi, Taichiro;Tsuboi, Zengo
2002
Difference \(L\) operators related to \(q\)-characters. Zbl 1012.17009
Kuniba, A.;Okado, M.;Suzuki, J.;Yamada, Y.
2002
Combinatorial \(R\) matrices for a family of crystals: \(B_n^{(1)}\), \(D_n^{(1)}\), \(A_{2n}^{(2)}\) and \(D_{n+1}^{(2)}\) cases. Zbl 1020.17010
Hatayama, Goro;Kuniba, Atsuo;Okado, Masato;Takagi, Taichiro
2002
Crystal bases and \(q\)-identities. Zbl 1020.17011
Okado, Masato;Schilling, Anne;Shimozone, Mark
2001
Energy functions in box ball systems. Zbl 0980.37029
Fukuda, Kaori;Yamada, Yasuhiko;Okado, Masato
2000
\(q\)-wedge modules for quantized enveloping algebras of classical type. Zbl 1024.17012
Jing, Naihuan;Misra, Kailash C.;Okado, Masato
2000
Paths, Demazure crystals, and symmetric functions. Zbl 0971.17006
Kuniba, Atsuo;Misra, Kailash C.;Okado, Masato;Takagi, Taichiro;Uchiyama, Jun
2000
Finite crystals and paths. Zbl 1008.17009
Hatayama, Goro;Koga, Yoshiyuki;Kuniba, Atsuo;Okado, Masato;Takagi, Taichiro
2000
Combinatorial \(R\) matrices for a family of crystals: \(C_n^{(1)}\) and \(A_{2n-1}^{(2)}\) cases. Zbl 0976.17009
Hatayama, Goro;Kuniba, Atsuo;Okado, Masato;Takagi, Taichiro
2000
Remarks on fermionic formula. Zbl 1032.81015
Hatayama, G.;Kuniba, A.;Okado, M.;Takagi, T.;Yamada, Y.
1999
Branching functions of \(A_{n-1}^{(1)}\) and Jantzen-Seitz problem for Ariki-Koike algebras. Zbl 0930.17023
Foda, Omar;Leclerc, Bernard;Okado, Masato;Thibon, Jean-Yves;Welsh, Trevor A.
1999
Character formulae of \(\widehat{\text{sl}}_n\)-modules and inhomogeneous paths. Zbl 0952.17013
Hatayama, Goro;Kirillov, Anatol N.;Kuniba, Atsuo;Okado, Masato;Takagi, Taichiro
1999
Crystals for Demazure modules of classical affine Lie algebras. Zbl 0974.17028
Kuniba, Atsuo;Misra, Kailash C.;Okado, Masato;Takagi, Taichiro;Uchiyama, Jun
1998
Demazure modules and perfect crystals. Zbl 0908.17009
Kuniba, Atsuo;Misra, Kailash C.;Okado, Masato;Uchiyama, Jun
1998
Characters of Demazure modules and solvable lattice models. Zbl 0953.17007
Kuniba, Atsuo;Misra, Kailash C.;Okado, Masato;Takagi, Taichiro;Uchiyama, Jun
1998
Demazure modules and vertex models: the \(\widehat{\text{sl}}(2)\) case. Zbl 1056.17501
Foda, Omar;Misra, Kailash C.;Okado, Masato
1998
RSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unity. Zbl 0895.20009
Foda, Omar;Leclerc, Bernard;Okado, Masato;Thibon, Jean-Yves;Welsh, Trevor A.
1998
Combinatorics of solvable lattice models, and modular representations of Hecke algebras. Zbl 0918.17021
Foda, O.;Leclerc, B.;Okado, M.;Thibon, J.-Y.;Welsh, T. A.
1998
Excitation spectra of spin models constructed from quantized affine algebras of types \(B^{(1)}_ n\) and \(D^{(1)}_ n\). Zbl 1044.82533
Davies, Brian;Okado, Masato
1996
A proof of polynomial identities of type \(\widehat{sl}(n)_ 1\otimes \widehat{sl}(n)_ 1/\widehat{sl}(n)_ 2\). Zbl 0881.17022
Foda, Omar;Okado, Masato;Warnaar, S. Ole
1996
Calculation of excitation spectra of the spin model related with the vector representation of the quantized affine algebra of type \(A_n^{(1)}\). Zbl 0905.17004
Date, Etsuro;Okado, Masato
1994
Calculation of excitation spectra of the spin model related with the vector representation of the quantized affine algebra of type \(A^{(1)}_n\). Zbl 0986.82500
Date, Etsurō;Okado, Masato
1994
Crystal base and \(q\)-vertex operators. Zbl 0790.17007
Date, Etsuro;Jimbo, Michio;Okado, Masato
1993
Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\). Zbl 0749.17015
Jimbo, Michio;Misra, Kailash C.;Miwa, Tetsuji;Okado, Masato
1991
\(R\)-matrices with gauge parameters and multi-parameter quantized enveloping algebras. Zbl 0774.17022
Okado, Masato;Yamane, Hiroyuki
1991
Solvable face models related to the Lie superalgebra sl(m\(| n)\). Zbl 0726.17007
Okado, Masato
1991
Quantum R matrices related to the spin representations of \(B_ n\) and \(D_ n\). Zbl 0722.17008
Okado, Masato
1990
One-dimensional configuration sums in vertex models and affine Lie algebra characters. Zbl 0681.17016
Date, E.;Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1989
Paths, Maya diagrams and representations of \(\widehat{\mathfrak{sl}}(r,\mathbb{C})\). Zbl 0704.17013
Date, Etsuro;Jimbo, Michio;Kuniba, Atsuo;Miwa, Tetsuji;Okado, Masato
1989
A new realization of the basic representation of \(A_n^{(1)}\). Zbl 0679.17012
Date, E.;Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1989
Solvable lattice models. Zbl 0681.17014
Date, Etsuro;Jimbo, Michio;Miwa, Tetsuji;Okado, Masato
1989
Path space realization of the basic representation of \(A^{(1)}_ n\). Zbl 0744.17030
Date, E.;Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1989
Solvable lattice models in two dimensions and modular functions. Zbl 0684.17013
Okado, Masato;Jimbo, Michio;Miwa, Tetsuji
1989
Symmetric tensors of the \(A^{(1)}_{n-1}\) family. Zbl 0674.17004
Jimbo, Michio;Miwa, Tetsuji;Okado, Masato
1989
Solvable lattice models related to the vector representation of classical simple Lie algebras. Zbl 0642.17016
Jimbo, Michio;Miwa, Tetsuji;Okado, Masato
1988
Exactly solvable SOS models. II: Proof of the star-triangle relation and combinatorial identities. Zbl 0679.17011
Date, E.;Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1988
The \(A_ n^{(1)}\) face models. Zbl 0667.17008
Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1988
Exactly solvable SOS models. Local height probabilities and theta function identities. Zbl 0679.17010
Date, E.;Jimbo, M.;Kuniba, A.;Miwa, T.;Okado, M.
1987
Solvable lattice models whose states are dominant integral weights of \(A^{(1)}_{n-1}\). Zbl 0642.17015
Jimbo, Michio;Miwa, Tetsuji;Okado, Masato
1987
An \(A^{(1)}_{n-1}\) family of solvable lattice models. Zbl 0663.17011
Jimbo, M.;Miwa, T.;Okado, M.
1987
alltop 5

Cited by 592 Authors

50 Okado, Masato
43 Kuniba, Atsuo
27 Scrimshaw, Travis
26 Misra, Kailash C.
23 Schilling, Anne
20 Kashiwara, Masaki
18 Kwon, Jae-Hoon
17 Miwa, Tetsuji
16 Kang, Seok-Jin
16 Oh, Se-jin
15 Jimbo, Michio
15 Lecouvey, Cédric
13 Jacon, Nicolas
13 Nakashima, Toshiki
13 Pearce, Paul A.
13 Takagi, Taichiro
10 Jing, Naihuan
10 Sakamoto, Reiho
10 Shimozono, Mark
9 Chari, Vyjayanthi
9 Foda, Omar
9 Kedem, Rinat
9 Kim, Myungho
8 Borodin, Alexei
8 Park, Euiyong
8 Pylyavskyy, Pavlo
7 Di Francesco, Philippe
7 Gerber, Thomas
7 Kim, Jeong-Ah
7 Kirillov, Anatol N.
7 Lee, Hyeonmi
7 Motegi, Kohei
7 Rosengren, Hjalmar
7 Shin, Dong-Uy
7 Warnaar, S. Ole
7 Wheeler, Michael
6 Inoue, Rei
6 Kus, Deniz
6 Lam, Thomas F.
6 Lenart, Cristian
6 Mathieu, Pierre
6 Nakanishi, Tomoki
6 Naoi, Katsuyuki
6 Salisbury, Ben
6 Spiridonov, Vyacheslav Pavlovich
6 Tsuboi, Zengo
6 Yamada, Yasuhiko
5 Aggarwal, Amol
5 Hollowood, Timothy J.
5 Hou, Boyu
5 Jang, Il-Seung
5 Konno, Hitoshi
5 Kuan, Jeffrey
5 Mangazeev, Vladimir V.
5 Nakayashiki, Atsushi
5 Norton, Emily
5 Sasada, Makiko
5 Schlosser, Michael J.
5 Vanicat, Matthieu
5 Venkatesh, Rajendran
5 Yoneyama, Akihito
4 Bouwknegt, Peter G.
4 Croydon, David A.
4 de Gier, Jan
4 Derkachëv, Sergeĭ Èduardovich
4 Feĭgin, Boris L’vovich
4 Fourier, Ghislain
4 Frassek, Rouven
4 Frieden, Gabriel
4 García, Gastón Andrés
4 Gepner, Doron R.
4 Hayashi, Takahiro
4 Hernandez, David
4 Jayne, Rebecca L.
4 Kawahigashi, Yasuyuki
4 Korotkikh, Sergei
4 Kousidis, Stavros
4 Mandelshtam, Olya
4 Mukhin, Evgeny
4 Nakajima, Hiraku
4 Pasquier, Vincent
4 Rasmussen, Jorgen
4 Tsujimoto, Satoshi
4 Zhang, Yaozhong
3 Ariki, Susumu
3 Bazhanov, Vladimir V.
3 Belavin, Vladimir A.
3 Bufetov, Alekseĭ Igor’evich
3 Cheng, Shun-Jen
3 Date, Etsuro
3 Evans, David E.
3 Fan, Heng
3 Felder, Giovanni
3 Fujita, Ryo
3 Gade, R. M.
3 Garbali, Alexandr
3 Giardinà, Cristian
3 Gould, Mark D.
3 Hatayama, Goro
3 Hu, Jun
...and 492 more Authors
alltop 5

Cited in 108 Serials

73 Nuclear Physics. B
72 Journal of Algebra
63 Communications in Mathematical Physics
30 Journal of Mathematical Physics
28 Letters in Mathematical Physics
28 Advances in Mathematics
27 Journal of Physics A: Mathematical and Theoretical
22 Journal of Algebraic Combinatorics
22 Algebras and Representation Theory
17 Journal of Statistical Physics
17 Journal of Combinatorial Theory. Series A
17 Publications of the Research Institute for Mathematical Sciences, Kyoto University
16 Journal of High Energy Physics
15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
13 Journal of Statistical Mechanics: Theory and Experiment
12 Selecta Mathematica. New Series
11 Transactions of the American Mathematical Society
11 Transformation Groups
11 Representation Theory
10 Communications in Algebra
9 Séminaire Lotharingien de Combinatoire
8 Mathematische Zeitschrift
8 Proceedings of the American Mathematical Society
8 The Electronic Journal of Combinatorics
7 Theoretical and Mathematical Physics
7 Journal of Geometry and Physics
7 Duke Mathematical Journal
5 Inventiones Mathematicae
5 Annales Henri Poincaré
5 Forum of Mathematics, Sigma
4 International Journal of Modern Physics A
4 Reviews in Mathematical Physics
4 Proceedings of the London Mathematical Society. Third Series
4 Journal of the American Mathematical Society
4 Mathematical Physics, Analysis and Geometry
4 Journal of Algebra and its Applications
3 Compositio Mathematica
3 Journal of Pure and Applied Algebra
3 Journal für die Reine und Angewandte Mathematik
3 Osaka Journal of Mathematics
3 International Journal of Algebra and Computation
3 Journal of Mathematical Sciences (New York)
2 Physica A
2 American Journal of Mathematics
2 The Annals of Probability
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematische Annalen
2 Nagoya Mathematical Journal
2 Pacific Journal of Mathematics
2 European Journal of Combinatorics
2 Advances in Applied Mathematics
2 Physica D
2 Constructive Approximation
2 Bulletin of the American Mathematical Society. New Series
2 St. Petersburg Mathematical Journal
2 Electronic Journal of Probability
2 The Ramanujan Journal
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
2 Algebraic Combinatorics
2 SciPost Physics
1 Modern Physics Letters A
1 Discrete Mathematics
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematische Semesterberichte
1 Physics Letters. B
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Journal of Mathematics
1 Functional Analysis and its Applications
1 Funkcialaj Ekvacioj. Serio Internacia
1 Hiroshima Mathematical Journal
1 Publications Mathématiques
1 Journal of Functional Analysis
1 Journal of the Indian Institute of Science
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Journal of Soviet Mathematics
1 Memoirs of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Probability Theory and Related Fields
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Nuclear Physics. B. Proceedings Supplements
1 Algebra Colloquium
1 Journal of Lie Theory
1 Electronic Communications in Probability
1 Annals of Combinatorics
1 Brazilian Journal of Probability and Statistics
1 Journal of Nonlinear Mathematical Physics
1 Journal of the Institute of Mathematics of Jussieu
1 Analysis and Applications (Singapore)
1 Oberwolfach Reports
1 Journal of Noncommutative Geometry
1 Advances in High Energy Physics
1 Quantum Topology
1 Kyoto Journal of Mathematics
...and 8 more Serials
alltop 5

Cited in 40 Fields

440 Nonassociative rings and algebras (17-XX)
254 Quantum theory (81-XX)
205 Statistical mechanics, structure of matter (82-XX)
195 Combinatorics (05-XX)
112 Associative rings and algebras (16-XX)
94 Group theory and generalizations (20-XX)
60 Special functions (33-XX)
47 Probability theory and stochastic processes (60-XX)
46 Algebraic geometry (14-XX)
46 Dynamical systems and ergodic theory (37-XX)
22 Difference and functional equations (39-XX)
21 Topological groups, Lie groups (22-XX)
18 Partial differential equations (35-XX)
17 Number theory (11-XX)
16 Commutative algebra (13-XX)
12 Manifolds and cell complexes (57-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Computer science (68-XX)
9 Category theory; homological algebra (18-XX)
9 Functional analysis (46-XX)
6 Relativity and gravitational theory (83-XX)
5 History and biography (01-XX)
4 Convex and discrete geometry (52-XX)
3 General and overarching topics; collections (00-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Mechanics of particles and systems (70-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Mathematical logic and foundations (03-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Ordinary differential equations (34-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operator theory (47-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

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