@Article{CMR-35-1,
author = {Yongsheng, Cheng and Wu, 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 = {<p style="text-align: justify;">In this paper, we compute Rota-Baxter operators on the 3-dimensional Lie algebra $g$ whose derived algebra&#39;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.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2019.01.09},
url = {https://global-sci.com/article/81552/rota-baxter-operators-on-3-dimensional-lie-algebras-and-solutions-of-the-classical-yang-baxter-equation}
}