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arXiv · 2507.09293

Graded anti-pre-Lie algebraic structures on Witt and Virasoro algebras

Chengming Bai·Dongfang Gao
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Abstract

We give the graded anti-pre-Lie algebraic structures on the Witt algebra $\mathcal W$ by the classification of certain indecomposable weight representations of $\mathcal W$. 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 $\mathcal V$ satisfying some natural conditions.

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BibTeXRIS

Chengming Bai, Dongfang Gao. 2025-07-12. Graded anti-pre-Lie algebraic structures on Witt and Virasoro algebras. https://doi.org/10.1016/j.geomphys.2025.105525

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