Lie Groups, Lie Algebras, and Representations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Brian C. Hall 作者

Springer

译者

2003-8-7 出版日期

250 页数

USD 64.95 价格

Hardcover

丛书系列

9780387401225 图书编码

Lie Groups, Lie Algebras, and Representations 在线电子书图书标签: 数学李群 Algebra 群论李代数代数物理抽象代数7

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发表于2024-12-23

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Lie Groups, Lie Algebras, and Representations 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Lie Groups, Lie Algebras, and Representations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

Lie Groups, Lie Algebras, and Representations 在线电子书用户评价

评分☆☆☆☆☆

以矩阵为例讲李群李代数，非常直观清晰，是一本很好的入门书，但是过于数学化，不知道如何用于物理，这是GTM的通病，毕竟人家是写给学数学的人看的。

评分☆☆☆☆☆

没看完，暂时不看了，至于将来是否会补完不是很确定，毕竟李群教材有很多。书本身不错。整本书的讲法上，因为对象是矩阵李群，有点过于具体，有好处也有坏处，看个人需求吧。

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Lie Groups, Lie Algebras, and Representations 在线电子书著者简介

Lie Groups, Lie Algebras, and Representations 在线电子书图书目录

Lie Groups, Lie Algebras, and Representations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Lie Groups, Lie Algebras, and Representations 在线电子书图书描述

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.

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