FINITE DIMENSIONAL MODULES FOR MULTILOOP SUPERALGEBRAS OF TYPES A(m, n) AND C(m)

In this article we construct a new class of finite dimensional irreducible modules generalizing evaluation modules for multiloop superalgebras of types A(m, n) and C(m). We prove that these are the only such modules. In all other cases it is known that such modules are evaluation modules.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2013-10, Vol.141 (10), p.3411-3419
Main Author: RAO, S. ESWARA
Format: Article
Language:English
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Summary:In this article we construct a new class of finite dimensional irreducible modules generalizing evaluation modules for multiloop superalgebras of types A(m, n) and C(m). We prove that these are the only such modules. In all other cases it is known that such modules are evaluation modules.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2013-11619-9