Rota-Baxter operators on Witt and Virasoro algebras
Xu Gao, Ming Liu, Chengming Bai, Naihuan Jing
TL;DR
This paper classifies homogeneous Rota-Baxter operators on Witt and Virasoro algebras and explores their applications in solving the classical Yang-Baxter equation and constructing pre-Lie and PostLie algebra structures.
Contribution
It provides a complete classification of Rota-Baxter operators on these algebras and links them to important algebraic and integrable system applications.
Findings
Classification of homogeneous Rota-Baxter operators on Witt and Virasoro algebras
Construction of solutions to the classical Yang-Baxter equation
Development of pre-Lie and PostLie algebra structures
Abstract
The homogeneous Rota-Baxter operators on the Witt and Virasoro algebras are classified. As applications, the induced solutions of the classical Yang-Baxter equation and the induced pre-Lie and PostLie algebra structures are obtained.
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