Finite dimensional modules for multiloop superalgebras of types 𝐴(𝑚,𝑛) and 𝐶(𝑚)

Rao, S.

doi:10.1090/S0002-9939-2013-11619-9

Finite dimensional modules for multiloop superalgebras of types $A(m,n)$ and $C(m)$
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Proc. Amer. Math. Soc. 141 (2013), 3411-3419 Request permission

Abstract:

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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