9780821826546
Infinite-Dimensional Lie Algebras (Translations Of Mathematical Monographs) - Minoru Wakimoto
American Mathematical Society (2001)
In Collection
#3489

Read It:
Yes
Lie algebras

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.

Product Details
LoC Classification QA252.3 .W3413 2001
Dewey 512.55
Format Paperback
Cover Price 59,00 €
No. of Pages 304
Height x Width 220 mm
Personal Details
Links Amazon
Library of Congress