Finite dimensional modules for multiloop superalgebra of type A(m,n) and C(m)

preprint2011arXivOpen access

Abstract

In this article we construct a new class of finite dimensional irreducible modules genaralizing evaluation modules for multiloop superalgebra of type 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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