Lectures on Real Semisimple Lie Algebras and Their Representations |
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| Author:
| Onishchik, Arkadij L. |
| Series title: | ESI Lectures in Mathematics and Physics Ser. |
| ISBN: | 978-3-03719-002-9 |
| Publication Date: | Dec 2003 |
| Publisher: | European Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $28.00 |
Book Description:
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The book begins with a simplified (and somewhat extended and corrected) exposition of the main results of F. Karpelevich's 1955 paper and relates them to the theory of Cartan-Iwahori. It concludes with some tables, where an involution of the Dynkin diagram that allows for finding self-conjugate representations is described and explicit formulas for the index are given. In a short addendum, written by J. V. Silhan, this involution is interpreted in terms of the Satake diagram.
The book begins with a simplified (and somewhat extended and corrected) exposition of the main results of F. Karpelevich's 1955 paper and relates them to the theory of Cartan-Iwahori. It concludes with some tables, where an involution of the Dynkin diagram that allows for finding self-conjugate representations is described and explicit formulas for the index are given. In a short addendum, written by J. V. Silhan, this involution is interpreted in terms of the Satake diagram.