Representations of affine Lie superalgebras and their quantization in type A

Published 9 Feb 2022 in math.RT and math.QA | (2202.04401v1)

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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