| 书目名称 | Lie Groups |
| 编辑 | J. J. Duistermaat,J. A. C. Kolk |
| 视频video | |
| 概述 | The authors are leading specialists and excellent expositors, who have worked a long time on this book project.Includes supplementary material: |
| 丛书名称 | Universitext |
| 图书封面 |  |
| 描述 | This book is devoted to an exposition of the theory of finite-dimensional Lie groups and Lie algebras, which is a beautiful and central topic in modern mathematics. At the end of the nineteenth century this theory came to life in the works of Sophus Lie. It had its origins in Lie‘s idea of applying Galois theory to differential equations and in Klein‘s "Erlanger Programm" of treat ing symmetry groups as the fundamental objects in geometry. Lie‘s approach to many problems of analysis and geometry was mainly local, that is, valid in local coordinate systems only. At the beginning of the twentieth century E. Cartan and Weyl began a systematic treatment of the global aspects of Lie‘s theory. Since then this theory has ramified tremendously and now, as the twentieth century is coming to a close, its concepts and methods pervade mathematics and theoretical physics. Despite the plethora of books devoted to Lie groups and Lie algebras we feel there is justification for a text that puts emphasis on Lie‘s principal idea, namely, geometry treated by a blend of algebra and analysis. Lie groups are geometrical objects whose structure can be described conveniently in terms of group actions and |
| 出版日期 | Textbook 2000 |
| 关键词 | Group actions algebra algebras groups; Matrix; Representations of algebras; Representations of groups; V |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-56936-4 |
| isbn_softcover | 978-3-540-15293-4 |
| isbn_ebook | 978-3-642-56936-4Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
| issn_series | 0172-5939 |
| copyright | Springer-Verlag Berlin Heidelberg 2000 |
发表于 2025-3-21 17:45:44
