Leibniz超代数的非交换张量积

吉林大学学报(理学版)

Leibniz超代数的非交换张量积

刘贵来, 王涵, 张庆成

东北师范大学数学与统计学院, 长春 130024

收稿日期:2017-08-22 出版日期:2018-07-26 发布日期:2018-07-31
通讯作者: 张庆成 E-mail:zhangqc569@nenu.edu.cn

Non-Abelian Tensor Product of Leibniz Superalgebras

LIU Guilai, WANG Han, ZHANG Qingcheng

School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received:2017-08-22 Online:2018-07-26 Published:2018-07-31
Contact: ZHANG Qingcheng E-mail:zhangqc569@nenu.edu.cn

摘要/Abstract

摘要： 构造Leibniz超代数的Leibniz作用和交叉模, 并给出Leibniz超对和Leibniz超代数的非交换张量积的定义. 由Leibniz超代数的非交换张量积的结构, 得到了关于Leibniz超代数短正合列及Leibniz超代数同态的相关结果.

关键词: 半直积, 非交换张量积, Leibniz作用, Leibniz超代数

Abstract: We constructed Leibniz action and crossedmodule of Leibniz superalgebras, and gave the definition of Leibniz superpairs and non-Abelian tensor product of Leibniz superalgebras. Based on the structure of non\|Abelian tensor product of Leibniz superalgebras, we obtained the related results of short exact sequence and homomorphism of Leibniz superalgebras.

Key words: Leibniz action, non\, Abelian tensor product, Leibniz superalgebras, semidirect product

中图分类号:

O152.5

刘贵来, 王涵, 张庆成. Leibniz超代数的非交换张量积[J]. 吉林大学学报(理学版), 2018, 56(4): 812-818.

LIU Guilai, WANG Han, ZHANG Qingcheng. Non-Abelian Tensor Product of Leibniz Superalgebras[J]. Journal of Jilin University Science Edition, 2018, 56(4): 812-818.