Rota-Baxter operators on Witt and Virasoro algebras

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• 作者：Xu Gao^a ; ^{gausyu@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Ming Liu^b ; ^{ming.l1984@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Chengming Bai^a ; ^{baicm@nankai.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Naihuan Jing^c ; ^{jing@math.ncsu.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary 17B30 ; secondary 17B68
• 刊名：Journal of Geometry and Physics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：108
• 期：Complete
• 页码：1-20
• 全文大小：538 K

文摘

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.