Structure of the standard modules for the affine Lie algebra A₁ superscript (1) / James Lepowsky and Mirko Primc.

Format:

Book

Author/Creator:

Lepowsky, J. (James), author.

Primc, Mirko, author.

Series:

Contemporary mathematics (American Mathematical Society) ; v. 46.

Contemporary mathematics, 0271-4132 ; volume 46

Language:

English

Subjects (All):

Lie algebras.

Modules (Algebra).

Physical Description:

1 online resource (95 p.)

Edition:

1st ed.

Other Title:

Affine Lie algebra A₁ superscript (1)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1985]

Language Note:

English

Summary:

The affine Kac-Moody algebra $A_1 DEGREES{(1)}$ has served as a source of ideas in the representation theory of infinite-dimensional affine Lie algebras. This book develops the calculus of vertex operators to solve the problem of constructing all the standard $A_1 DEGREES{(1)}$-modules in the homogeneou

Contents:

""Contents""; ""Preface""; ""1. Introduction""; ""2. The Lie algebra A1(1)""; ""3. The category Pk""; ""4. The generalized commutation relations""; ""5. Relations for standard modules""; ""6. Basis of ΩL for a standard module L""; ""7. Schur functions""; ""8. Proof of linear independence""; ""9. Combinatorial formulas""; ""References""

Notes:

Description based upon print version of record.

Bibliography: pages 82-84.

Description based on print version record.

ISBN:

0-8218-7631-7

0-8218-5396-1