Linear representatives of groups/
Ernest B. Vinberg
- Basel: Birkhauser Verlag, 2010.
- 146 p. ; 24 cm.
Basic Notions.- General Properties of Representations.- Invariant Subspaces.- Complete Reducibility of Representations of Compact Groups.- Basic Operations on Representations.- Properties of Irreducible Complex Representations.- Representations of Finite Groups.- Decomposition of the Regular Representation.- Orthogonality Relations.- Representations of Finite Groups.- The Groups SU2 and S03.- Matrix Elements of Compact Groups.- The Laplace Spherical Functions.- Representations of Lie Groups.- General Properties of Homomorphisms and Representations of Lie Groups.- Representations of SU2 and S03.- Appendices.- References.