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三维单李代数sl(2)的双导子与交换映射

韩秀

安徽大学学报(自然科学版)2019,Vol.43Issue(2):23-27,5.
安徽大学学报(自然科学版)2019,Vol.43Issue(2):23-27,5.DOI:10.3969/j.issn.1000-2162.2019.02.003

三维单李代数sl(2)的双导子与交换映射

Biderivations and commuting maps on the 3-dimentional simple Lie algebra sl (2)

韩秀1

作者信息

  • 1. 徐州工程学院 数学与物理科学学院,江苏 徐州 221008
  • 折叠

摘要

Abstract

In the paper, the biderivations and linear commuting maps on the 3-dimentional simple Lie algebra sl (2) were completely determined. In particular, all the biderivations of the 3-dimentional simple Lie algebra sl (2) were shown to be inner biderivations. By the result, the explicit forms of each linear commuting map of the 3-dimentional simple Lie algebra sl (2) were given. In particular, all the linear commuting maps on the 3-dimentional simple Lie algebra sl (2) were shown to be standard linear commuting maps.

关键词

3维单李代数/双导子/交换映射

Key words

3-dimentional simple Lie algebra/biderivations/commuting maps

分类

数理科学

引用本文复制引用

韩秀..三维单李代数sl(2)的双导子与交换映射[J].安徽大学学报(自然科学版),2019,43(2):23-27,5.

基金项目

国家自然科学基金资助项目 (11401570) (11401570)

安徽大学学报(自然科学版)

OA北大核心CSTPCD

1000-2162

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