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.

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Cited by in corpus (3)

• Non-weight modules over algebras related to the Virasoro algebra
• A class of non-weight modules over the Schrödinger-Virasoro algebras
• Simple $\mathfrak{sl}(V)$-modules which are free over an abelian subalgebra