Graded anti-pre-Lie algebraic structures on Witt and Virasoro algebras
Abstract
We give the graded anti-pre-Lie algebraic structures on the Witt algebra W by the classification of certain indecomposable weight representations of W. Their classification in the sense of isomorphism is also given. Furthermore, there does not exist a graded anti-pre-Lie algebraic structure on the Virasoro algebra V satisfying some natural conditions.
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