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Transactions of the American Mathematical Society
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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Additional Information

Stefano Capparelli
Affiliation: address Dipartimento di Matematica, Università di Roma-1, P.le A. Moro, 00185 Roma, Italy
Email: capparel@mat.uniroma1.it

DOI: http://dx.doi.org/10.1090/S0002-9947-96-01535-8
PII: S 0002-9947(96)01535-8
Received by editor(s): January 12, 1994
Article copyright: © Copyright 1996 American Mathematical Society