Affiliation:
1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
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 g. Furthermore, we give the corresponding solutions of the classical Yang-Baxter equation in the 6-dimensional Lie algebras g ⋉ad⁎ g⁎ and the induced left-symmetry algebra structures on g.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,General Physics and Astronomy
Cited by
11 articles.
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