A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type-Reference-Cited by-同舟云学术

A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type

Published:1996 Issue:2 Volume:348 Page:481-501
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Capparelli Stefano

Abstract

We obtain a vertex operator construction of level 3 standard representations for the affine Lie algebra A 2 ( 2 ) A_2^{(2)} . As a corollary, we also get new conbinatorial identities.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1996-348-02/S0002-9947-96-01535-8/S0002-9947-96-01535-8.pdf

Reference37 articles.

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