內容簡介
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作者簡介
作者:(俄羅斯)溫貝格(Ernest B.Vinberg)
圖書目錄
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 Groups
9 The Laplace Spherical Functions
IV Representations of Lie Groups
10 General Properties of Homomorphisms and Representations of Lie Groups
11 Representations of SU2 and SO3
Appendices
A1 Presentation of Groups By Means of Generators 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