Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2017.11.21
  • Accepted : 2018.09.07
  • Published : 2018.11.30
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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.

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References

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