株式会社極東書店トップ ＞ 商品一覧 ＞ Lie Theory : Lie Algebras and Representations. Softcover reprint of the original 1st ed. 2004.
商品詳細
Lie Theory : Lie Algebras and Representations. Softcover reprint of the original 1st ed. 2004.
・ISBN 978-1-4612-6483-5 paper EUR 149.99
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| 著者・編者 | Anker, Jean-Philippe / Orsted, Bent (eds.), |
|---|---|
| シリーズ | Progress in Mathematics |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2012 |
| ページ数 | 331 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-16956＞ |
解説
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title "Lie Theory," feature survey work and original results by well-established researchers in key areas of semisimple Lie theory.
A wide spectrum of topics is treated, with emphasis on the interplay between representation theory and the geometry of adjoint orbits for Lie algebras over fields of possibly finite characteristic, as well as for infinite-dimensional Lie algebras. Also covered is unitary representation theory and branching laws for reductive subgroups, an active part of modern representation theory. Finally, there is a thorough discussion of compactifications of symmetric spaces, and harmonic analysis through a far-reaching generalization of Harish--Chandra's Plancherel formula for semisimple Lie groups.
Ideal for graduate students and researchers, "Lie Theory" provides a broad, clearly focused examination of semisimple Lie groups and their integral importance to research in many branches of mathematics.