3-莱布尼兹代数及其Rota-Baxter算子的构造

doi:10.6040/j.issn.1671-9352.0.2019.560

《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (4): 48-53.doi: 10.6040/j.issn.1671-9352.0.2019.560

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3-莱布尼兹代数及其Rota-Baxter算子的构造

李芳淑,李林涵,张良云^*

南京农业大学理学院, 江苏南京 210095

发布日期:2020-04-09
作者简介:李芳淑(1993— ), 女, 硕士研究生, 研究方向为Hopf代数. E-mail:908632155@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)

Construction of 3-Leibniz algebras and their Rota-Baxter operators

LI Fang-shu, LI Lin-han, ZHANG Liang-yun^*

College of Science, Nanjing Agricultural University, Nanjing 210095, Jiangsu, China

Published:2020-04-09

摘要/Abstract

摘要： 莱布尼兹代数作为李代数的推广,已经发展到很高的水平和阶段。由莱布尼兹代数构造 3-莱布尼兹代数,以及由 3-莱布尼兹代数构造Rota-Baxter算子,是一个非常有意义和重要的课题。

关键词: 莱布尼兹代数, 3-莱布尼兹代数, 弱Hopf代数, Rota-Baxter算子

Abstract: Leibniz algebras have developed to a very high level and stage as a generalization of Lie algebras. Constructing 3-Leibniz algebras from Leibniz algebras and Rota-Baxter operators on 3-Leibniz algebras have become a very important and meaningful subject.

Key words: Leibniz algebra, 3-Leibniz algebra, weak Hopf algebra, Rota-Baxter operator

中图分类号:

O153.3

李芳淑,李林涵,张良云. 3-莱布尼兹代数及其Rota-Baxter算子的构造[J]. 《山东大学学报(理学版)》, 2020, 55(4): 48-53.

LI Fang-shu, LI Lin-han, ZHANG Liang-yun. Construction of 3-Leibniz algebras and their Rota-Baxter operators[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(4): 48-53.

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3-莱布尼兹代数及其Rota-Baxter算子的构造

Construction of 3-Leibniz algebras and their Rota-Baxter operators

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