Rota-Baxter Operators on 3-Dimensional Lie Algebras and the Classical R-Matrices

Our aim is to classify the Rota-Baxter operators of weight 0 on the 3-dimensional Lie algebra whose derived algebra’s dimension is 2. We explicitly determine all Rota-Baxter operators (of weight zero) on the 3-dimensional Lie algebras g. Furthermore, we give the corresponding solutions of the classi...

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Bibliographic Details
Main Authors: Linli Wu, Mengping Wang, Yongsheng Cheng
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2017/6128102