Superderivation Algebras of Modular Lie Superalgebras of ■-Type

作     者：Xiaoning XU Xiaojun LI 

作者机构：School of Mathematics Liaoning University 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2015年第36卷第3期

页      面：447-466页

核心收录：

学科分类：0821[工学-纺织科学与工程] 07[理学] 08[工学] 070104[理学-应用数学] 082101[工学-纺织工程] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(No.11371182) the PhD Start-up Foundation of Liaoning University of China(No.2012002) the Predeclaration Fund of State Project of Liaoning University(No.2014LDGY01) 

主　　题：李超代数 C型 模块化 代数闭域 pgt 有限维 

摘      要：The authors consider a family of finite-dimensional Lie superalgebras of O-type over an algebraically closed field of characteristic p 3. It is proved that the Lie superalgebras of ■-type are simple and the spanning sets are determined. Then the spanning sets are employed to characterize the superderivation algebras of these Lie ***, the associative forms are discussed and a comparison is made between these Lie superalgebras and other simple Lie superalgebras of Cartan type.