| 书目名称 | Lie Theory | | 副标题 | Lie Algebras and Rep | | 编辑 | Jens Carsten Jantzen,Karl-Hermann Neeb,Jean-Philip | | 视频video | | | 概述 | Features original results and survey work from renowned mathematicians.Contains J. C. Jantzen‘s "Nilpotent Orbits in Representation Theory," and K.-H. Neeb‘s "Infinite Dimensional Groups and their Rep | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | .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.. | | 出版日期 | Book 2004 | | 关键词 | Area; Volume; algebra; harmonic analysis; representation theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-8192-0 | | isbn_softcover | 978-1-4612-6483-5 | | isbn_ebook | 978-0-8176-8192-0Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Science+Business Media New York 2004 |
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发表于 2025-3-21 16:19:07
