Representations of affine Lie superalgebras and their quantization in type A

被引：2
作者：
Bezerra, Luan [1 ]
Calixto, Lucas [2 ]
Futorny, Vyacheslav [1 ,3 ]
Kashuba, Iryna [1 ]
机构：
[1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo, Brazil
[2] Univ Fed Minas Gerais, Dept Math, Belo Horizonte, MG, Brazil
[3] SUSTech, Int Ctr Math, Shenzhen, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2022年 / 611卷
基金：
巴西圣保罗研究基金会;
关键词：
Affine Lie superalgebra; Quantization; Representation; WEIGHT MODULES; REALIZATIONS;
D O I：
10.1016/j.jalgebra.2022.08.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：320 / 340
页数：21
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