JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (12): 56-62.doi: 10.6040/j.issn.1671-9352.0.2020.064

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Structure of Poisson algebras on Sweedler 4-dimensional Hopf algebras

QIAO Ning, FANG Ying, ZHANG Liang-yun*   

  1. College of Science, Nanjing Agricultural University, Nanjing 210095, Jiangsu, China
  • Published:2020-12-01

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Abstract: Constructing the relations among L-dendriform algebras, Rota-Baxter systems and Poisson algebras, and applying the theory of Poisson algebras to construct Poisson algebras and Poisson Hopf algebras on Sweedler 4-dimensional Hopf algebra are of significance to the research and application of Rota-Baxter algebras and Hopf algebras.

Key words: Poisson algebra, Sweedler 4-dimensional Hopf algebra, L-dendriform algebra, Rota-Baxter system

CLC Number: 

  • O153.3
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[1] ZHANG Qian, LI Xuan, LI Xin, ZHENG Hui-hui, LI Lin-han, ZHANG Liang-yun. The construct of Rota-Baxter algebra on the Sweedler 4-dimensional Hopf algebra [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(6): 47-52.
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