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arXiv · 2406.12565

1-cocycles of the Witt algebra with coefficients in tensor product of modules

Shoulan Gao·Dong Liu·Yufeng Pei
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Abstract

In this paper, we classify 1-cocycles of the Witt algebra with coefficients in the tensor product of two arbitrary tensor density modules. In a special case, we recover a theorem originally established by Ng and Taft in \cite{NT}. Furthermore, by these 1-cocycles, we determine Lie bialgebra structures over certain infinite-dimensional Lie algebras containing the Witt algebra.

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Shoulan Gao, Dong Liu, Yufeng Pei. 2024-06-18. 1-cocycles of the Witt algebra with coefficients in tensor product of modules. https://arxiv.org/abs/2406.12565

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