Infinite-dimensional Lie algebras
著者
書誌事項
Infinite-dimensional Lie algebras
（Iwanami series in modern mathematics）（Translations of mathematical monographs, v. 195）
American Mathematical Society, c2001
- : pbk
- タイトル別名
-
無限次元Lie環
Mugen jigen Lie-kan
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注記
Original Japanese ed. published: Tokyo, 1999
Bibliography: p. 291-299
Includes index
内容説明・目次
内容説明
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.
目次
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.
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