Representations of the affine-Virasoro algebra of type $A_1$
Yun Gao, Naihong Hu, Dong Liu
TL;DR
This paper classifies all irreducible weight modules with finite-dimensional weight spaces over the affine-Virasoro Lie algebra of type A_1, providing a comprehensive understanding of its module structure.
Contribution
It offers the first complete classification of such modules for the affine-Virasoro algebra of type A_1, filling a gap in the representation theory of this algebra.
Findings
Complete classification of irreducible weight modules with finite-dimensional weight spaces.
Identification of all possible module structures for the affine-Virasoro algebra of type A_1.
Advancement in understanding the representation theory of affine-Virasoro algebras.
Abstract
In this paper, we classify all irreducible weight modules with finite-dimensional weight spaces over the affine-Virasoro Lie algebra of type .
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