Bull. Korean Math. Soc. 2018; 55(6): 1727-1748
Online first article November 7, 2018 Printed November 1, 2018
https://doi.org/10.4134/BKMS.b171021
Copyright © The Korean Mathematical Society.
Xiaomin Tang, Yongyue Zhong
Heilongjiang University, Heilongjiang University
In this paper, we characterize the graded post-Lie algebra structures on the W-algebra $W(2,2)$. Furthermore, as applications, the homogeneous Rota-Baxter operators on $W(2,2)$ and solutions of the formal classical Yang-Baxter equation on $W(2,2)$ \ltimes_{{\rm ad}^\ast} $W(2,2)^\ast$ are studied.
Keywords: W-algebra $W(2,2)$, post-Lie algebra, Rota-Baxter operator, Yang-Baxter equation
MSC numbers: 17A30, 17B68
2016; 53(6): 1685-1695
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd