Lie Algebras of Finite and Affine Type

出版者:Cambridge Univ Pr

作者:Carter, Roger

页数:650

出版时间:2005-12

价格:$ 136.73

装帧:HRD

isbn号码:9780521851381

图书标签:数学Mathematics

Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory of Kac-Moody algebras. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. The first half of the book deals with classification of the finite dimensional simple Lie algebras and of their finite dimensional irreducible representations. The second half introduces the theory of Kac-Moody algebras, concentrating particularly on those of affine type. A brief account of Borcherds algebras is also included. An Appendix gives a summary of the basic properties of each Lie algebra of finite and affine type.

用户评价

本学期李代数课的参考书。如老师所说，写的比Humpreys详细很多。

本学期李代数课的参考书。如老师所说，写的比Humpreys详细很多。

要求很低。只看了Kac-Moody代數部份，推薦。

可以作为李代数和Kac-Moody代数的入门书. 许多的处理都是尽量把东西写简单清楚. 看完这个再看GTM9和Kac的Infinite-dimensional Lie Algebras会比较轻松.

不太懂lie algebras