Lie Groups, Lie Algebras, and Representations 2024 pdf epub mobi 电子书

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发表于2024-12-26

Lie Groups, Lie Algebras, and Representations 2024 pdf epub mobi 电子书

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对于一个关心对称函数，关心表示论的组合方向的人来说，这本书有着致命的诱惑。最早发现这本书是在网上看到它的先行版本，只有100多页，现在的书加上附录有三百多页，新版更厚。诱惑的原因，是这本书试图躲开分析的影子，也就是丢掉一般性的，流形上的方法来讨论矩阵Lie群。...

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出版者:Springer New York

作者:Brian C. Hall

出品人:

页数:376

译者:

出版时间:2009-12-28

价格:USD 64.95

装帧:Paperback

isbn号码:9781441923134

丛书系列:

图书标签: 李群李代数数学 Mathematics Representations Algebra 群论物理

Lie Groups, Lie Algebras, and Representations 2024 pdf epub mobi 电子书图书描述

Lie groups, Lie algebras, and representation theory are the main focus of this text. In order to keep the prerequisites to a minimum, the author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all of the most interesting examples. The book also introduces the often-intimidating machinery of roots and the Weyl group in a gradual way, using examples and representation theory as motivation. The text is divided into two parts. The first covers Lie groups and Lie algebras and the relationship between them, along with basic representation theory. The second part covers the theory of semisimple Lie groups and Lie algebras, beginning with a detailed analysis of the representations of SU(3). The author illustrates the general theory with numerous images pertaining to Lie algebras of rank two and rank three, including images of root systems, lattices of dominant integral weights, and weight diagrams. This book is sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory. Brian Hall is an Associate Professor of Mathematics at the University of Notre Dame.

Lie Groups, Lie Algebras, and Representations 2024 pdf epub mobi 电子书

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