UID:
almahu_9948233531402882
Format:
1 online resource (xvii, 632 pages) :
,
digital, PDF file(s).
ISBN:
9780511614910 (ebook)
Series Statement:
Cambridge studies in advanced mathematics ; 96
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Additional Edition:
Print version: ISBN 9780521851381
Language:
English
Subjects:
Mathematics
URL:
https://doi.org/10.1017/CBO9780511614910
URL:
Volltext
(URL des Erstveröffentlichers)
