ENGLISH

Infinite-dimensional Lie algebras

By Minoru Wakimoto

Book information

Publisher
American Mathematical Society
Year
2000
ISBN
9780821826546, 0821826549
Language
english
Format
DJVU
Filesize
6 MB (5891219 bytes)
Series
Translations of Mathematical Monographs
Pages
169\169
Topic
Mathematics Algebra
Time added
2009-08-06 05:14:26

Description

This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of ${\widehat {\mathfrak {sl}}}(2, {\mathbb C})$, root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra. Continuing on, the main subjects of the book are the structure (real and imaginary root systems) of and the character formula for Kac-Moody superalgebras, which is explained in a very general setting. Only elementary linear algebra and group theory are assumed. Also covered is modular property and asymptotic behavior of integrable characters of affine Lie algebras. The exposition is self-contained and includes examples. The book can be used in a graduate-level course on the topic.

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