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Representations of the affine-Virasoro algebra of type $A_1$

arXiv:1512.07701 · doi:10.1016/j.geomphys.2016.03.009

Abstract

In this paper, we classify all irreducible weight modules with finite-dimensional weight spaces over the affine-Virasoro Lie algebra of type $A_1$.

Latex, 11 page. Recently, based on this works we have completed such studies over the general affine-Virasoro algebras. Published on Journal Geometry and Physics 2016