Simple modules for twisted Hamiltonian extended affine Lie algebras

被引：0

作者：

Tantubay, Santanu ^{[1
]}

Chakraborty, Priyanshu ^{[2
,3
]}

Batra, Punita ^{[4
]}

机构：

[1] A CI Homi Bhaba Natl Inst, Inst Math Sci, 4 Cross Rd,CIT Campus Taramani, Chennai 600113, Tamil Nadu, India

[2] East China Normal Univ, Sch Math Sci, Key Lab Math & Engn Applicat, Minist Educ, 500 Dongchuan Rd, Shanghai 200241, Peoples R China

[3] East China Normal Univ, Shanghai Key Lab PMMP, 500 Dongchuan Rd, Shanghai 200241, Peoples R China

[4] A CI Homi Bhaba Natl Inst, Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, India

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2024年 / 696卷

关键词：

Extended affine Lie algebras; Classical Hamiltonian Lie algebras; INTEGRABLE MODULES; REPRESENTATIONS;

D O I：

10.1016/j.laa.2024.05.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the twisted Hamiltonian extended affine Lie algebra (THEALA). We classify the irreducible integrable modules for these Lie algebras with finite dimensional weight spaces when the finite dimensional center acts nontrivially. This Lie algebra has a triangular decomposition, which is different from the natural triangular decomposition of twisted full toroidal Lie algebra. Any irreducible integrable module of it is a highest weight module with respect to the given triangular decomposition. In this paper we describe the highest weight space in detail. (c) 2024 Elsevier Inc. All rights reserved.

引用

页码：29 / 45

页数：17

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