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Post-Lie algebra structures on the Witt algebra

2017/01/01 by Xiaomin Tang, Tang, Xiaomin
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Finite Group Theory Research

paper · pdf · doi:10.48550/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 1 on the Witt algebra are studied.

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