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Infinite-dimensional Lie algebras

✍ Scribed by Minoru Wakimoto

Book ID
127418262
Publisher
American Mathematical Society
Year
2001
Tongue
English
Weight
3 MB
Series
Iwanami series in modern mathematics, Translations of mathematical monographs 195
Category
Library
City
Providence, RI
ISBN-13
9780821826546
ISSN
0065-9282

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Infinite dimensional Lie algebras: an in
Infinite dimensional Lie algebras: an introduction
✍ Victor G. Kac πŸ“‚ Library πŸ“… 1984 πŸ› BirkhΓ€user 🌐 English βš– 4 MB

This is the third, substantially revised edition of this important monograph by a giant in the field of mathematics. The book is concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. Each chapter begins with a motivating discussion and