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《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (6): 47-52.doi: 10.6040/j.issn.1671-9352.0.2018.336

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由Sweedler四维Hopf代数构造Rota-Baxter代数

张倩,李萱,李歆,郑慧慧,李林涵,张良云*   

  1. 南京农业大学 理学院, 江苏 南京 210095
  • 发布日期:2019-06-05
  • 作者简介:张倩(1997— ),女,硕士研究生,研究方向为代数学. E-mail:938489380@qq.com*通信作者简介:张良云(1964— ),男,博士,教授,研究方向为Hopf 代数. E-mail:zlyun@njau.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11571173);国家实践创新训练计划资助项目(201710307083)

The construct of Rota-Baxter algebra on the Sweedler 4-dimensional Hopf algebra

ZHANG Qian, LI Xuan, LI Xin, ZHENG Hui-hui, LI Lin-han, ZHANG Liang-yun*   

  1. College of Science, Nanjing Agricultural University, Nanjing 210095, Jiangsu, China
  • Published:2019-06-05

摘要: 主要由Sweedler四维Hopf代数及其子代数构造了权重为-1的非平凡Rota-Baxter算子。

关键词: Sweedler四维Hopf代数, Rota-Baxter 代数, Rota-Baxter算子

Abstract: The nontrivial Rota-Baxter operators with weight -1 are constructed from the Sweedler four-dimensional Hopf algebra and its subalgebras.

Key words: Sweedler 4-dimensional Hopf algebra, Rota-Baxter algebra, Rota-Baxter operator

中图分类号: 

  • O153.3
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