关于p-幂零限制李超代数(英文)  

On p-nilpotent Restricted Lie Superalgebras

作　　者：陈良云[1] 孟道骥[2] 

机构地区：[1]东北师范大学数学系,长春吉林130024 [2]南开大学数学系,天津300071

出　　处：《数学进展》2005年第6期731-737,共7页Advances in Mathematics（China）

基　　金：Supported by National Natural Science Foundation of China(No.10271076)Young Foundation of Northeast Normal University(No.111494027).

摘　　要：我们讨论了p-幂零限制李超代散的一些性质,分别给出了p-幂零和幂零限制李超代数的几个充分必要条件,并讨论了幂零与p-幂零之间的关系．最后,证明了幂零限制李超代数的一些性质．In the present paper, we obtain some properties of p-nilpotent restricted Lie superalgebras, give some necessary and sufficient conditions on p-nilpotent restricted Lie superalgebras and nilpotent restricted Lie superalgebras as well as discuss the relations to nilpotency restricted Lie superalgebras, in additior, we announce and prove some results on nilpotent restricted Lie superalgebras.

关 键 词：限制李超代数 p-幂零元 p-幂零理想 p-幂零根基 

分 类 号：O152.5[理学—数学]