Lie Groups Beyond an Introduction (Progress in Mathematics v. 140 2nd ed. 2002)
By: Anthony W. Knapp (author)Hardback
This book takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. The book initially shares insights that make use of actual matrices; it later relies on such structural features as properties of root systems.
Preface to the Second Edition; Preface to the First Edition; List of Figures; Prerequisites by Chapter; Standard Notation; Introduction: Closed Linear Groups; Lie Algebras and Lie Groups; Complex Semisimple Lie Algebras; Universal Enveloping Algebra; Compact Lie Groups; Finite-Dimensional Representations; Structure Theory of Semisimple Groups; Advanced Structure Theory Integration; Induced Representations and Branching Theorems; Prehomogeneous Vector Spaces; Appendices; Hints for Solutions of Problems; Historical Notes; References; Index of Notation; Index
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- ID: 9780817642594
2nd ed. 2002
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