Items related to Linear Representations of Groups: Translated from the...
Synopsis
Preface Introduction 0. Basic Notions I. General Properties of Representations 1. Invariant Subspaces 2. Complete Reducibility of Representations of Compact Groups 3. Basic Operations on Representations 4. Properties of Irreducible Complex Representations II. Representations of Finite Groups 5. Decomposition of the Regular Representation 6. Orthogonality Relations III. Representations of Compact Groups 7. The Groups SU2 and SO3 8. Matrix Elements of Compact Groups9. The Laplace Spherical Functions IV. Representations of Lie Groups10. General Properties of Homomorphisms and Representations of Lie Groups 11. Representations of SU2 and SO3Appendices A1 Presentation of Groups By Means ofGenerators and Relations A2 Tensor Products A3 The Convex Hull of a Compact Set A4 Conjugate Elements in Groups Answers and Hints to Exercises List of Notations References Index
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