| 书目名称 | Structure and Geometry of Lie Groups |
| 编辑 | Joachim Hilgert,Karl-Hermann Neeb |
| 视频video | |
| 概述 | Systematically presents the structure theory of general, unrestricted Lie groups.Self-contained, with two appendices on covering theory and multilinear algebra.Includes abundant classroom-tested exerc |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity..This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference.. |
| 出版日期 | Book 2012 |
| 关键词 | Lie algebras; Lie groups; differentiable manifold; homogeneous space; invariant geometric space; matrix g |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-387-84794-8 |
| isbn_softcover | 978-1-4899-9006-8 |
| isbn_ebook | 978-0-387-84794-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer Science+Business Media, LLC 2012 |
发表于 2025-3-21 17:39:02
