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Representations of affine Lie superalgebras and their quantization in type A

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Author(s):
Bezerra, Luan ; Calixto, Lucas ; Futorny, Vyacheslav ; Kashuba, Iryna
Total Authors: 4
Document type: Journal article
Source: Journal of Algebra; v. 611, p. 21-pg., 2022-12-01.
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 U-q(sl) over cap (m|n). (c) 2022 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 20/14281-5 - Representations of twisted affine Lie Superalgebras and their quantizations
Grantee:Luan Pereira Bezerra
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 21/14716-4 - Jordan algebras: representations, homology and geometry
Grantee:Iryna Kashuba
Support Opportunities: Regular Research Grants
FAPESP's process: 18/23690-6 - Structures, representations, and applications of algebraic systems
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants