English

Classification of irreducible integrable highest weight modules for current Kac-Moody Algebras

Representation Theory 2015-11-25 v1

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.

Keywords

Cite

@article{arxiv.1511.07599,
  title  = {Classification of irreducible integrable highest weight modules for current Kac-Moody Algebras},
  author = {S. Eswara Rao and Punita Batra},
  journal= {arXiv preprint arXiv:1511.07599},
  year   = {2015}
}