| 书目名称 | Developments and Trends in Infinite-Dimensional Lie Theory | | 编辑 | Karl-Hermann Neeb,Arturo Pianzola | | 视频video | | | 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 |
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发表于 2025-3-21 17:14:58
