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arXiv · 2002.03426

$\lambda$-Differential operators and $\lambda$-differential modules for the Virasoro algebra

Xuewen Liu·Li Guo·Xiangqian Guo
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Abstract

The concept of $\lambda$-differential operators is a natural generalization of differential operators and difference operators. In this paper, we determine the $\lambda$-differential Lie algebraic structure on the Witt algebra and the Virasoro algebra for invertible $\lambda$. Then we consider several families of modules over the Virasoro algebra with explicit module actions and determine the $\lambda$-differential module structures on them.

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BibTeXRIS

Xuewen Liu, Li Guo, Xiangqian Guo. 2020-02-09. $\lambda$-Differential operators and $\lambda$-differential modules for the Virasoro algebra. https://doi.org/10.1080/03081087.2018.1451479

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