Symmetry groups and their applications
This is a beginning graduate level textbook on applied group theory, treating those aspects useful in the physical sciences, specifically quantum mechanics. The theory is largely algebraic in nature, so proficiency in linear algebra and advanced calculus is required. The book addresses finite or discrete symmetry groups, e.g., point, space, and permutation groups; and Lie groups
x, 432 pages : illustrations, tables ; 24 cm
9780124974609, 0124974600
589081
Elementary group theory
The crystallographic groups
Group representation theory
Representations of the symmetric groups
Lie groups and Lie algebras
Compact Lie groups
The rotations group and its representations
The Lorentz group and its representations
Representations of the classical groups
The harmonic oscillator group
Appendix : Hilbert space