Iwahori-Hecke type algebras associated with the Lie superalgebras A(m,n), B(m,n), C(n) and D(m,n)

Abstract

In this paper we give Iwahori-Hecke type algebras Hq(g) associated with the Lie superalgebras g=A(m,n), B(m,n), C(n) and D(m,n). We classify the irreducible representations of Hq(g) for generic q.

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