Infinite-dimensional Lie algebras
Author(s)
Bibliographic Information
Infinite-dimensional Lie algebras
(Iwanami series in modern mathematics)(Translations of mathematical monographs, v. 195)
American Mathematical Society, c2001
- : pbk
- Other Title
-
無限次元Lie環
Mugen jigen Lie-kan
Available at 42 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Original Japanese ed. published: Tokyo, 1999
Bibliography: p. 291-299
Includes index
Description and Table of Contents
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.
Table of Contents
Opening Structures and representations of BKM (super-)algebras Affine Lie algebras Modular transformations of characters of affine Lie algebras Fusion algebras In lieu of postscript-Virasoro algebra Further developments Bibliography Index.
by "Nielsen BookData"