| 书目名称 | Infinite Dimensional Kähler Manifolds |
| 编辑 | Alan Huckleberry,Tilmann Wurzbacher |
| 视频video | http://file.papertrans.cn/465/464625/464625.mp4 |
| 丛书名称 | Oberwolfach Seminars |
| 图书封面 |  |
| 描述 | Infinite dimensional manifolds, Lie groups and algebras arise naturally in many areas of mathematics and physics. Having been used mainly as a tool for the study of finite dimensional objects, the emphasis has changed and they are now frequently studied for their own independent interest. On the one hand this is a collection of closely related articles on infinite dimensional Kähler manifolds and associated group actions which grew out of a DMV-Seminar on the same subject. On the other hand it covers significantly more ground than was possible during the seminar in Oberwolfach and is in a certain sense intended as a systematic approach which ranges from the foundations of the subject to recent developments. It should be accessible to doctoral students and as well researchers coming from a wide range of areas. The initial chapters are devoted to a rather selfcontained introduction to group actions on complex and symplectic manifolds and to Borel-Weil theory in finite dimensions. These are followed by a treatment of the basics of infinite dimensional Lie groups, their actions and their representations. Finally, a number of more specialized and advanced topics are discussed, e.g., Bor |
| 出版日期 | Book 2001 |
| 关键词 | Complex analysis; Geometry; Matrix; Monodromy; Tensor; curvature; diffeomorphism; differential geometry; gro |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-8227-9 |
| isbn_softcover | 978-3-7643-6602-5 |
| isbn_ebook | 978-3-0348-8227-9Series ISSN 1661-237X Series E-ISSN 2296-5041 |
| issn_series | 1661-237X |
| copyright | Springer Basel AG 2001 |
|Archiver|手机版|小黑屋|
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