English

Regular Kac-Moody superalgebras and integrable highest weight modules

Representation Theory 2010-11-08 v4

Abstract

We define regular Kac-Moody superalgebras and classify them using integrable modules. We give conditions for irreducible highest weight modules of regular Kac-Moody superalgebras to be integrable. This paper is a major part of the proof for the classification of finite-growth contragredient Lie superalgebras.

Keywords

Cite

@article{arxiv.0810.2650,
  title  = {Regular Kac-Moody superalgebras and integrable highest weight modules},
  author = {Crystal Hoyt},
  journal= {arXiv preprint arXiv:0810.2650},
  year   = {2010}
}

Comments

added reference; corrected typos

R2 v1 2026-06-21T11:30:57.707Z