Post-Lie algebra structures on the Witt algebra
arXiv:1701.00200
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.
24 pages