Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



A Construction of the Level 3 Modules for
the Affine Lie Algebra $A_2^{(2)}$
and a New Combinatorial Identity
of the Rogers-Ramanujan Type

Author: Stefano Capparelli
Journal: Trans. Amer. Math. Soc. 348 (1996), 481-501
MSC (1991): Primary 17B65, 17B67, 05A19
MathSciNet review: 1333389
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Abstract: We obtain a vertex operator construction of level 3 standard representations for the affine Lie algebra $A_2^{(2)}$. As a corollary, we also get new conbinatorial identities.

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Stefano Capparelli
Affiliation: address Dipartimento di Matematica, Università di Roma-1, P.le A. Moro, 00185 Roma, Italy

Received by editor(s): January 12, 1994
Article copyright: © Copyright 1996 American Mathematical Society