Classification of irreducible integrable highest weight modules for current Kac

Classification of irreducible integrable highest weight modules for current Kac–Moody algebras

Published:2016-06-21 Issue:07 Volume:16 Page:1750123
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Eswara Rao S.¹,Batra Punita²

Affiliation:

1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India

2. Harish Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India

Abstract

This paper classifies irreducible, integrable highest weight modules for “current Kac–Moody Algebras” with finite-dimensional weight spaces. We prove that these modules turn out to be modules of appropriate direct sums of finitely many copies of Kac–Moody Lie algebras.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498817501237

Reference21 articles.

1. Representations of twisted multi-loop Lie algebras

2. BGG reciprocity for current algebras

3. Macdonald polynomials and BGG reciprocity for current algebras

4. Irreducible Representations for Toroidal Lie Algebras

5. Weight modules for current algebras

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Irreducible modules for map Heisenberg–Virasoro Lie algebras;Journal of Algebra and Its Applications;2024-07-30

2. Representations of map extended Witt algebras;Journal of Algebra;2024-02

3. Modules for loop Affine-Virasoro algebras;Journal of Algebra and Its Applications;2020-02-20

4. Generalized Casimir operators;Journal of Algebra and Its Applications;2019-08-19