Rota-Baxter operators on Witt and Virasoro algebras

JOURNAL OF GEOMETRY AND PHYSICS

卷:108

Article

Gao, Xu^1,2  Liu, Ming³  Bai, Chengming^1,2  Jing, Naihuan⁴ 

[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[3] South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China

[4] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

关键词: Rota-Baxter operator;    Witt algebra;    Virasoro algebra;    Pre-Lie algebra;    PostLie algebra;   

DOI  :  10.1016/j.geomphys.2016.06.007

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free