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

Linli Wu, Mengping Wang and Yongsheng Cheng

Advances in Mathematical Physics, 2017, vol. 2017, 1-7

Abstract:

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 . Furthermore, we give the corresponding solutions of the classical Yang-Baxter equation in the 6-dimensional Lie algebras and the induced left-symmetry algebra structures on .

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6128102

DOI: 10.1155/2017/6128102

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