Noncommutative homology of some three-dimensional quantum spaces.(English)Zbl 0814.16006
The Hochschild and cyclic homology are computed for some three- dimensional quantum spaces (type A algebras), introduced by Artin and Schelter. It is shown that the Hochschild homology is determined by the homology of the Poisson variety associated to the type A algebra.
Reviewer: C.Năstăsescu (Bucureşti)
MSC:
| 16E40 | (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) |
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 16W30 | Hopf algebras (associative rings and algebras) (MSC2000) |
Keywords:
type A algebras;cyclic homology;three-dimensional quantum spaces;Hochschild homology;Poisson varietyCite
Full Text:DOI
References:
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