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

Abstract

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

References in corpus (1)

• Classification of simple weight modules over affine Lie algebras

Cited by in corpus (1)

• Simple $\mathfrak{sl}(V)$-modules which are free over an abelian subalgebra