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关键词:
Lie Groups, Lie Algebras, and Representations
- An Elementary Introduction
书目信息
ISBN:
9780387401225(13位)
中图分类号:
O1
杜威分类号:
中文译名:
李群、李代数与表示:初级概论
作者:
Hall
编者:
语种:
English
出版信息
出版社:
Springer
出版地:
出版年:
2004
版本:
1st ed. 2003. Corr. 2nd printing
版本类型:
原版
丛书题名:
Graduate Texts in Mathematics Vol. 222
卷期:
文献信息
关键词:
Mathematics
前言:
摘要:
内容简介:
15Lie 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 integ 15ral 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.
目次:
Preface.- I: General Theory: Matrix Lie Groups; Lie Algebras and the Exponential Mapping; The Baker-Campbell-Hausdorff Formula; Basic Representation Theory.- II: Semisimple Theory: The Representations of SU(3); Semisimple Lie Algebras; Representations of Complex Semisimple Lie Algebras; More on Roots and Weights.- Appendix A: A Quick Introduction to Groups.- Appendix B: Linear Algebra Review.- Appendix C: More on Lie Groups.- Appendix D: Clebsch-Gordan Theory for SU(2) and the Wigner-Eckart Theorem.- Appendix E: Computing Fundamental Groups of Matrix Lie Groups.- Bibliography.
附录:
全文链接:
读者对象:
grad.
实体信息
页码:
装帧:
hard
尺寸:
其它形态细节:
其它信息
原价:
EUR
49.9500
原版ISBN:
其它ISBN:
图书特色:
书评:
扩展信息
Isbn:
0387401229
issue:
2006JC01
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