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http://dx.doi.org/10.4134/BKMS.b171021

GRADED POST-LIE ALGEBRA STRUCTURES, ROTA-BAXTER OPERATORS AND YANG-BAXTER EQUATIONS ON THE W-ALGEBRA W(2, 2)  

Tang, Xiaomin (School of Mathematical Science Heilongjiang University)
Zhong, Yongyue (School of Mathematical Science Heilongjiang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.6, 2018 , pp. 1727-1748 More about this Journal
Abstract
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 $W(2,2){\ltimes}_{ad^*} W(2,2)^*$ are studied.
Keywords
W-algebra W(2, 2); post-Lie algebra; Rota-Baxter operator; Yang-Baxter equation;
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