Introduction to Lie Groups and Lie Algebras

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Page iii

Copyright page
Page iv

Preface
Page ix

Chapter 1 Some Calculus
Pages 1-39

Chapter 2 Manifolds
Pages 40-89

Chapter 3 Topological Groups
Pages 90-104

Chapter 4 Lie Groups
Pages 105-113

Chapter 5 The Lie Algebra of a Lie Group
Pages 114-138

Chapter 6 Lie Subgroups and Subalgebras
Pages 139-155

Chapter 7 Automorphisms and Adjoints
Pages 156-166

Chapter 8 Simply Connected Lie Groups
Pages 167-177

Chapter 9 Some Algebra
Pages 178-200

Chapter 10 Solvable Lie Groups and Algebras
Pages 201-214

Chapter 11 Nilpotent Lie Groups and Algebras
Pages 215-227

Chapter 12 Semsimple Lie Groups and Algebras
Pages 228-263

Chapter 13 Cartan Subalgebras and Root Spaces
Pages 264-283

Chapter 14 Simple Split Lie Algebras
Pages 284-313

Chapter 15 Simple Real Lie Algebras and Groups
Pages 314-336

Appendix
Pages 337-351

References
Pages 352-353

Index
Pages 355-361

Pure and Applied Mathematics
Pages 362-363