限制线状李超代数的超导子及限制超导子  

Superderivations and Restricted Superderivations ofRestricted Filiform Lie Superalgebra

作　　者：张超 远继霞[1] ZHANG Chao;YUAN Jixia(School of Mathematical Science,Heilongjiang University,Harbin 150080,China)

机构地区：[1]黑龙江大学数学科学学院,哈尔滨150080

出　　处：《吉林大学学报（理学版）》2022年第4期861-865,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11701158,11771069);黑龙江省省属高等学校基本科研业务费专项基金(批准号:2020-KYYWF-1018).

摘　　要：提出一个线状李超代数的限制结构,并讨论该限制李超代数的(限制)超导子代数.首先,利用该限制线状李超代数的Z_(2)×Z-阶化结构给出其超导子代数;其次,证明该限制李超代数的超导子均为限制超导子.We proposed a restricted structure of a filiform Lie superalgebra,and discussed the(restricted)superderivations algebra of this restricted Lie superalgebra.Firstly,the superderivations algebra was given by using this Z_(2)×Z-graded structure of this restricted filiform Lie superalgebra.Secondly,it was proved that the superderivations of the restricted Lie superalgebra were all restricted superderivations.

关 键 词：线状李超代数 超导子 限制超导子 

分 类 号：O154.2[理学—数学]