Transactions of the American Mathematical Society

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(s): Stefano Capparelli
Journal: Trans. Amer. Math. Soc. 348 (1996), 481-501.
MSC (1991): Primary 17B65, 17B67, 05A19
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 17B65, 17B67, 05A19

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

DOI: 10.1090/S0002-9947-96-01535-8
PII: S 0002-9947(96)01535-8
Received by editor(s): January 12, 1994
Copyright of article: Copyright 1996, American Mathematical Society

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