ENGLISH

Lie Algebras, Part 2: Finite and Infinite Dimensional Lie Algebras and Applications in Physics

By E.A. de Kerf , G.G.A. Bäuerle , A.P.E. ten Kroode

Book information

Publisher
North Holland
Year
1997
ISBN
0444828362, 9780444828361
ISSN
0925-8582
LCC
QC20.7.L54 B38
Language
english
Format
DJVU
Filesize
3 MB (3119481 bytes)
Series
Studies in Mathematical Physics
Pages
564\565
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Linear;Algebra;Pure Mathematics;Mathematics;Scienc

Description

This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure. Part II deals mainly with the representations and applications of Lie Algebras and contains many cross references to Part I. The theoretical part largely deals with the representation theory of Lie algebras with a triangular decomposition, of which Kac-Moody algebras and the Virasoro algebra are prime examples. After setting up the general framework of highest weight representations, the book continues to treat topics as the Casimir operator and the Weyl-Kac character formula, which are specific for Kac-Moody algebras. The applications have a wide range. First, the book contains an exposition on the role of finite-dimensional semisimple Lie algebras and their representations in the standard and grand unified models of elementary particle physics. A second application is in the realm of soliton equations and their infinite-dimensional symmetry groups and algebras. The book concludes with a chapter on conformal field theory and the importance of the Virasoro and Kac-Moody algebras therein.

Similar books