• 제목/요약/키워드: post-Lie algebra

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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;Zhong, Yongyue
    • 대한수학회보
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    • 제55권6호
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    • pp.1727-1748
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    • 2018

  • 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.

  • https://doi.org/10.4134/BKMS.b171021 인용 PDF KSCI