English

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

Quantum Algebra 2020-02-11 v1 Representation Theory

Abstract

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

Keywords

Cite

@article{arxiv.2002.03426,
  title  = {$\lambda$-Differential operators and $\lambda$-differential modules for the Virasoro algebra},
  author = {Xuewen Liu and Li Guo and Xiangqian Guo},
  journal= {arXiv preprint arXiv:2002.03426},
  year   = {2020}
}

Comments

17 pages

R2 v1 2026-06-23T13:35:51.831Z