English

Classification of irreducible integrable representations of loop toroidal Lie algebras

Representation Theory 2022-11-09 v2

Abstract

In this paper we classify irreducible integrable representations of loop toroidal Lie algebras with finite dimensional weight spaces. In both the cases we classify modules, when a part of center acts non-trivially and trivially on modules.

Keywords

Cite

@article{arxiv.2007.06415,
  title  = {Classification of irreducible integrable representations of loop toroidal Lie algebras},
  author = {Priyanshu Chakraborty and Punita Batra},
  journal= {arXiv preprint arXiv:2007.06415},
  year   = {2022}
}