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Science/Engineering Infinite-Dimensional Lie Algebras (Translations of Mathematical Monographs 195): Minoru Wakimoto

Posted on 2010-03-16




Name:Science/Engineering Infinite-Dimensional Lie Algebras (Translations of Mathematical Monographs 195): Minoru Wakimoto
ASIN/ISBN:0821826549
Language:English
File size:2.5 Mb
ISBN: 0821826549
Publish Date: 2001-07
Pages: 304 pages
File Size: 2.50 Mb
Other Info: American Mathematical Society; djvu (ocr)
   Science/Engineering Infinite-Dimensional Lie Algebras (Translations of Mathematical Monographs 195): Minoru Wakimoto



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Infinite-Dimensional Lie Algebras (Translations of Mathematical Monographs 195): Minoru Wakimoto

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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