Leibniz超代数的非交换张量积  

Non-Abelian Tensor Product of Leibniz Superalgebras

作　　者：刘贵来 王涵[1] 张庆成[1] LIU Guilai;WANG Han;ZHANG Qingcheng(School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)

机构地区：[1]东北师范大学数学与统计学院,长春130024

出　　处：《吉林大学学报（理学版）》2018年第4期812-818,共7页Journal of Jilin University:Science Edition

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)

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.

关 键 词：Leibniz超代数 Leibniz作用 半直积 非交换张量积 

分 类 号：O152.5[理学—数学]