Leibniz超代数的非交换张量积

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英文篇名：Non-Abelian Tensor Product of Leibniz Superalgebras 作者：刘贵来 ; 王涵 ; 张庆成 英文作者：LIU Guilai;WANG Han;ZHANG Qingcheng;School of Mathematics and Statistics,Northeast Normal University; 关键词：Leibniz超代数 ; Leibniz作用 ; 半直积 ; 非交换张量积 英文关键词：Leibniz superalgebras;;Leibniz action;;semidirect product;;non-Abelian tensor product 中文刊名：JLDX 英文刊名：Journal of Jilin University(Science Edition) 机构：东北师范大学数学与统计学院; 出版日期：2018-07-26 出版单位：吉林大学学报(理学版) 年：2018 期：v.56;No.232 基金：国家自然科学基金(批准号:11171055);; 吉林省自然科学基金(批准号:201301068JC) 语种：中文; 页：JLDX201804009 页数：7 CN：04 ISSN：22-1340/O 分类号：56-62

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.
        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.

引文

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