无限维非单李超代数W和S  

Filtrations of the Non-simple Lie Superalgebras W and S

作　　者：张秀强[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2009年第6期49-51,58,共4页Natural Science Journal of Harbin Normal University

摘　　要：设F是特征p>3的域,g是F上外代数与无限维广义W itt代数或特殊李代数的张量积所构成的无限维非单李超代数.通过确定ad幂零元的方法证明了g的标准滤过不变性.Let F be a field and char F=p 3.Let g denote the Lie superalgebra which is the tensor product of the exterior superalgebra and the infinite-dimensional generalized Witt algebra or special Lie algebra over F,In this paper it is proved that the standard filtration of the non-simple Lie superalgebra g is invariant by means of investigating the ad nilpotent elements.

关 键 词：李超代数 滤过 ad幂零元. 

分 类 号：O152.5[理学—数学]