紧致李群概论INTRODUCTION TO COMPACT LIE GROUPS

书籍目录

Preface1 Calculus on Manifolds2 Groups and Lie Groups3 One-Parameter Subgroups and the Exponential M~4 The Campbell-Baker-Hausdorff Formula5 The Adjoint Representation6 Maximal Tori7 Representation Theory8 Roots and Weights9 Weyl's Formulae10 Differential Operators on Compact Lie Groups11 The Riemannian Geometry of a Compact Lie Gro12 The Trace of the Heat KernelAppendix 1: The Tensor ProductAppendix 2: Clifford Algebras and the Spin GroupsSolutions and Hints for Selected ExercisesBibliographyIndex

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