Witt型单李超代数  

Simple Lie superalgebras of Witt type

作　　者：孔祥青[1] 

机构地区：[1]滕州市第二中学高一级部数学组,山东滕州277500

出　　处：《纯粹数学与应用数学》2010年第3期508-512,共5页Pure and Applied Mathematics

摘　　要：设F是特征p>2的域,A是F上结合的超交换的代数,D是域为F上A的超交换的导子.设AD=A[D]为Witt型李超代数.从环论的角度得到了Witt型李超代数为单代数的充分必要条件.Let F be an algebraically closed field with char F = p 2.Let A be an associative and commutative F-superalgebra and D be a nonzero F-vector space of commuting F-derivations of A.Then with a natural definition,A × D = A[D] becomes a Lie superalgebra and we obtain necessary and suffcient conditions here for this Lie superalgebra to be simple from a ring-theoretic point of view.

关 键 词：超交换 单李超代数 除幂代数 外代数 

分 类 号：O512[理学—低温物理]