论文标题

$λ$ - 不同的运算符和$λ$ - 差异模块的Virasoro代数模块

$λ$-Differential operators and $λ$-differential modules for the Virasoro algebra

论文作者

Liu, Xuewen, Guo, Li, Guo, Xiangqian

论文摘要

$λ$ - 差异运算符的概念是对差分运算符和差异操作员的自然概括。在本文中,我们确定了Witt代数上的$λ$ -Differential Lie代数结构和Virasoro代数的可逆$λ$。然后,我们考虑具有显式模块动作的Virasoro代数上的几个模块系列,并确定其上的$λ$差异模块结构。

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

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