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

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.