@Article{CMR-35-81, author = {Cheng , YongshengWu , Linli and Wang , Panyin}, title = {Rota-Baxter Operators on 3-Dimensional Lie Algebras and Solutions of the Classical Yang-Baxter Equation}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {1}, pages = {81--96}, abstract = {

In this paper, we compute Rota-Baxter operators on the 3-dimensional Lie algebra $g$ whose derived algebra's dimension is 2. Furthermore, we give the corresponding solutions of the classical Yang-Baxter equation in the 6-dimensional Lie algebras $g\ltimes_{ad^*}g^*$ and some new structures of left-symmetric algebra induced from $g$ and its Rota-Baxter operators.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.01.09}, url = {http://global-sci.org/intro/article_detail/cmr/13477.html} }