English

Module structure on $U(\mathfrak{h})$ for Kac-Moody algebras

Representation Theory 2016-07-06 v2

Abstract

Let \g\g be an arbitrary Kac-Moody algebra with a Cartan sualgebra \h\h. In this paper, we determine the category of \g\g-modules that are free U(\h)U(\h)-modules of rank 1.

Keywords

Cite

@article{arxiv.1606.01891,
  title  = {Module structure on $U(\mathfrak{h})$ for Kac-Moody algebras},
  author = {Yan-an Cai and Haijun Tan and Kaiming Zhao},
  journal= {arXiv preprint arXiv:1606.01891},
  year   = {2016}
}
R2 v1 2026-06-22T14:18:57.935Z