| 《李群（英文版）》是世界图书出版公司由出版的 |
| Preface Part I: Compact Groups 1 Haar Measure 2 Schur Orthogonality 3 Compact Operators 4 The Peter-Weyl Theorem Part II: Lie Group Fundamentals 5 Lie Subgroups of GL(n, C) 6 Vector Fields 7 Left-Invariant Vector Fields 8 The Exponential Map 9 Tensors and Universal Properties 10 The Universal Enveloping Algebra 11 Extension of Scalars 12 Representations of S1(2, C) 13 The Universal Cover 14 The Local Frobenius Theorem 15 Tori 16 Geodesics and Maximal Tori 17 Topological Proof of Cartan's Theorem 18 The Weyl Integration Formula 19 The Root System 20 Examples of Root Systems 21 Abstract |
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