Post-Lie algebra structures on the Witt algebra
Rings and Algebras
2017-08-22 v3
Abstract
In this paper, we characterize the graded post-Lie algebra structures and a class of shifting post-Lie algebra structures on the Witt algebra. We obtain some new Lie algebras and give a class of their modules. As an application, the homogeneous Rota-Baxter operators and a class of non-homogeneous Rota-Baxter operators of weight on the Witt algebra are studied.
Cite
@article{arxiv.1701.00200,
title = {Post-Lie algebra structures on the Witt algebra},
author = {Xiaomin Tang},
journal= {arXiv preprint arXiv:1701.00200},
year = {2017}
}
Comments
24 pages