李超代数S(2)上的Rota-Baxter算子

doi:10.6040/j.issn.1671-9352.0.2020.228

《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (12): 40-48.doi: 10.6040/j.issn.1671-9352.0.2020.228

• • 上一篇

李超代数S(2)上的Rota-Baxter算子

陆智颖,远继霞^*

黑龙江大学数学科学学院, 黑龙江哈尔滨 150080

发布日期:2020-12-01
作者简介:陆智颖(1994— ), 女, 硕士研究生, 研究方向为李理论. E-mail:luzhiying151@sina.com*通信作者简介:远继霞(1982— ), 女, 博士, 副教授, 研究方向为李理论. E-mail:yuanjixia138@sina.com
基金资助:
国家自然科学基金资助项目(11601135);黑龙江省自然科学基金资助项目(QC2017002);中国博士后科学基金资助项目(2018M630311)

Rota-Baxter operators on the Lie superalgebra S(2)

LU Zhi-ying, YUAN Ji-xia^*

School of Mathematical Science, Heilongjiang University, Harbin 150080, Heilongjiang, China

Published:2020-12-01

摘要/Abstract

摘要： 主要研究李超代数S(2)上权为0的Rota-Baxter算子, 根据S(2)_0^-与sl(2,C)同构的这一性质, 利用sl(2,C)的Rota-Baxter算子, 给出了李超代数S(2)上的权为0的偶的Rota-Baxter算子, 同时利用 Rota-Baxter算子的定义计算得到了李超代数S(2)上的权为0的奇的Rota-Baxter算子。

关键词: 李超代数, 李超代数S(2), Rota-Baxter算子

Abstract: The Rota-Baxter operators of Lie superalgebra S(2)with weight zero are investigated. According to the property of isomorphism of S(2)_0^- and sl(2,C), using the Rota-Baxter operators of sl(2,C), the even Rota-Baxter operators with weight zero on Lie superalgebra S(2)are given. At the same time, using the definition of the Rota-Baxter operator to calculate the odd Rota-Baxter operators with weight zero on Lie superalgebra S(2).

Key words: Lie superalgebra, Lie superalgebra S(2), Rota-Baxter operator

中图分类号:

O152.5

陆智颖,远继霞. 李超代数S(2)上的Rota-Baxter算子[J]. 《山东大学学报(理学版)》, 2020, 55(12): 40-48.

LU Zhi-ying, YUAN Ji-xia. Rota-Baxter operators on the Lie superalgebra S(2)[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(12): 40-48.

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李超代数S(2)上的Rota-Baxter算子

Rota-Baxter operators on the Lie superalgebra S(2)

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