| 书目名称 | Lie Groups | | 编辑 | Daniel Bump | | 视频video | | | 概述 | Contains numerous exercises and is written by a brilliant expositor.We expect the same sales potential as Brian Hall‘s recent GTM, Lie Groups, Lie Algebras, and Representations.Includes supplementary | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | This book aims to be a course in Lie groups that can be covered in one year with a group of good graduate students. I have attempted to address a problem that anyone teaching this subject must have, which is that the amount of essential material is too much to cover. One approach to this problem is to emphasize the beautiful representation theory of compact groups, and indeed this book can be used for a course of this type if after Chapter 25 one skips ahead to Part III. But I did not want to omit important topics such as the Bruhat decomposition and the theory of symmetric spaces. For these subjects, compact groups are not sufficient. Part I covers standard general properties of representations of compact groups (including Lie groups and other compact groups, such as finite or p adic ones). These include Schur orthogonality, properties of matrix coefficients and the Peter-Weyl Theorem. | | 出版日期 | Textbook 20041st edition | | 关键词 | Cohomology; Fundamental group; Matrix; Matrix Theory; Representation theory; algebra; homology | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-4094-3 | | isbn_ebook | 978-1-4757-4094-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 2004 |
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发表于 2025-3-21 16:31:02
