Real Reductive Groups
Seiten
1992
Academic Press Inc (Verlag)
978-0-12-732961-1 (ISBN)
Academic Press Inc (Verlag)
978-0-12-732961-1 (ISBN)
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Sequel to "Real Reductive Groups I", this book emphasizes more analytical aspects of representation theory, but retains its focus on the interaction between algebra, analysis and geometry, like the first volume. The two volumes comprise a complete introduction to representation theory.
This book is the sequel to "Real Reductive Groups I", and emphasizes the more analytical aspects of representation theory, while still retaining its focus on the interaction between algebra, analysis and geometry, like the first volume. It provides a self-contained introduction to abstract representation theory, covering locally compact groups, C- algebras, Von Neuman algebras, direct integral decompositions. In addition, it contains a proof of Harish-Chandra's plancherel theorem. Together, the two volumes comprise a complete introduction to representation theory. Both volumes are based on courses and lectures given by the author over the last 20 years. They are intended for research mathematicians and graduate-level students taking courses in representation theory and mathematical physics.
This book is the sequel to "Real Reductive Groups I", and emphasizes the more analytical aspects of representation theory, while still retaining its focus on the interaction between algebra, analysis and geometry, like the first volume. It provides a self-contained introduction to abstract representation theory, covering locally compact groups, C- algebras, Von Neuman algebras, direct integral decompositions. In addition, it contains a proof of Harish-Chandra's plancherel theorem. Together, the two volumes comprise a complete introduction to representation theory. Both volumes are based on courses and lectures given by the author over the last 20 years. They are intended for research mathematicians and graduate-level students taking courses in representation theory and mathematical physics.
Intertwining operators; completions of admissible (g,K)-modules; the theory of the leading term; the Harish-Chandra plancherel theorem; abstract representation theory; the Whittaker plancherel theorem.
| Zusatzinfo | appendix, bibliography, index |
|---|---|
| Verlagsort | San Diego |
| Sprache | englisch |
| Gewicht | 798 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-12-732961-7 / 0127329617 |
| ISBN-13 | 978-0-12-732961-1 / 9780127329611 |
| Zustand | Neuware |
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