| 书目名称 | Developments and Trends in Infinite-Dimensional Lie Theory |
| 编辑 | Karl-Hermann Neeb,Arturo Pianzola |
| 视频video | http://file.papertrans.cn/271/270139/270139.mp4 |
| 概述 | Invited papers written by distinguished researchers.Expository essays focus on recent developments and trends in infinite-dimensional Lie theory.Discusses new methods, structures, and representations |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | .This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups...Part (A) is mainly concerned with the structure and representation theory of infinite-dimensional Lie algebras and contains articles on the structure of direct-limit Lie algebras, extended affine Lie algebras and loop algebras, as well as representations of loop algebras and Kac–Moody superalgebras...The articles in Part (B) examine connections between infinite-dimensional Lie theory and geometry. The topics range from infinite-dimensional groups acting on fiber bundles, corresponding characteristic classes and gerbes, to Jordan-theoretic geometries and new results on direct-limit groups...The analytic representation theory of infinite-dimensional Lie groups is still very much underdeveloped. The articles in Part (C) develop new, promising methods based on heat kernels, multiplicity freeness, Ba |
| 出版日期 | Book 2011 |
| 关键词 | Kac--Moody superalgebras; direct limit groups; heat kernels; loop algebras; multiplicity freeness |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-8176-4741-4 |
| isbn_ebook | 978-0-8176-4741-4Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Springer Science+Business Media, LLC 2011 |
|Archiver|手机版|小黑屋|
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