Infinite dimensional Lie algebras
The third, substantially revised edition of a monograph concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie albegras, and their representations, based on courses given over a number of years at MIT and in Paris.
Read More ↓Title Statements
- Full title :Infinite dimensional Lie algebras / Victor G. Kac.
Summary
The third, substantially revised edition of a monograph concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie albegras, and their representations, based on courses given over a number of years at MIT and in Paris.
Read More ↓Edition Statements
- Publication Date:©1990
- Edition:Third edition, reprinted with corrections
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:©1990
The Physical Object
- Description:xxi, 400 pages ; : 24 cm
Edition Identifiers
- ISBN:0521466938, 9780521466936
- oclc:ocm40398125
- LC Classification:QA252.3
- Dewey Decimal:512.2
Table of Contents
Basic definitions -- The invariant bilinear form and the generalized Casimir operator -- Integrable representations of Kac-Moody algebras and the Weyl group -- A classification of generalized Cartan matrices -- Real and imaginary roots -- Affine algebras : the normalized invariant form, the root system, and the Weyl group -- Affine algebras as central extensions of loop algebras -- Twisted affine algebras and finite order automorphisms -- Highest-weight modules over Kac-Moody algebras -- Integrable highest-weight modules : the character formula -- Integrable highest-weight modules : the weight system and the unitarizability -- Integrable highest-weight modules over affine algebras. Application to n-function identities. Sugawara operators and branching functions -- Affine algebras, theta functions, and modular forms -- The principle and homogeneous vertex operator constructions of the basic representation. Boson-Fermion correspondence. Application to Soliton equations.
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