Non-weight modules over the affine-Virasoro algebra of type $A_1$

Abstract

In this paper, we study a class of non-weight modules over the affine-Virasoro algebra of type $A_1$, which are free modules of rank one when restricted to the Cartan subalgebra (modulo center). We give the classification of such modules. Moreover, the simplicity and the isomorphism classes of these modules are determined.

arXiv comment14 pages

References in corpus (6)

• Simple sl_{n+1}-module structures on U(h)
• $\mathcal{U}(\mathfrak{h})$-free modules and coherent families
• Modules over the Heisenberg-Virasoro and $W(2,2)$ algebras
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Cited by in corpus (1)

• Representations of affine Nappi-Witten Lie algebras over polynomial algebras