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arXiv · 2202.04401

Representations of affine Lie superalgebras and their quantization in type A

Luan Pereira Bezerra·Lucas Calixto·Vyacheslav Futorny·Iryna Kashuba
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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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Luan Pereira Bezerra, Lucas Calixto, Vyacheslav Futorny, Iryna Kashuba. 2022-02-09. Representations of affine Lie superalgebras and their quantization in type A. https://arxiv.org/abs/2202.04401

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