๐”– Scriptorium
โœฆ   LIBER   โœฆ
๐Ÿ“

Infinite-Dimensional Lie Algebras

โœ Scribed by Minoru Wakimoto

Publisher
American Mathematical Society
Year
2001
Tongue
English
Leaves
335
Series
Translations of Mathematical Monographs
Category
Library
โฌ‡  Acquire This Volume

No coin nor oath required. For personal study only.

โœฆ 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.

๐Ÿ“œ SIMILAR VOLUMES

Infinite dimensional Lie algebras
๐Ÿ“ Infinite dimensional Lie algebras
โœ Kac V.G. ๐Ÿ“‚ Library ๐Ÿ“… 1995 ๐Ÿ› CUP ๐ŸŒ English

This is the third, substantially revised edition of this important monograph. The book is concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in Paris, and is sufficientl

Infinite-Dimensional Lie Algebras
๐Ÿ“ Infinite-Dimensional Lie Algebras
โœ Victor G. Kac ๐Ÿ“‚ Library ๐Ÿ“… 1994 ๐Ÿ› Cambridge University Press ๐ŸŒ English

This is the third, substantially revised edition of this important monograph. The book is concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in Paris, and is sufficientl