arXiv:2202.04401 Abstract | arXiv Analytics

arXiv:2202.04401 [math.RT]Abstract References Reviews Resources

Representations of affine Lie superalgebras and their quantization in type A

Luan Pereira Bezerra, Lucas Calixto, Vyacheslav Futorny, Iryna Kashuba

Published 2022-02-09Version 1

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.

Categories: math.RT, math.QA

Subjects: 17B67, 17B37

Keywords: affine lie superalgebras, representations, classical affine kac-moody lie superalgebra, quantization, basic classical affine kac-moody lie

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