Representations of affine Lie superalgebras and their quantization in type A

preprint2022arXivOpen access

Abstract

We construct a new family of irreducible modules over any basic classical affine Kac-Moody Lie superalgebra which are induced from modules over the Heisenberg subalgebra. We also obtain irreducible deformations of these modules for the quantum affine superalgebra of type A.

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