| Witt型单李超代数 |
| |
| 引用本文： | 孔祥青.Witt型单李超代数[J].纯粹数学与应用数学,2010,26(3):508-512. |
| |
| 作者姓名： | 孔祥青 |
| |
| 作者单位： | 滕州市第二中学高一级部数学组,山东,滕州,277500 |
| |
| 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=AD]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.
|
| 关 键 词： | 超交换 单李超代数 除幂代数 外代数 |
Simple Lie superalgebras of Witt type |
| |
| KONG Xiang-qing.Simple Lie superalgebras of Witt type[J].Pure and Applied Mathematics,2010,26(3):508-512. |
| |
| Authors: | KONG Xiang-qing |
| |
| Institution: | KONG Xiang-qing(Department of Mathematics of Senior One,Tengzhou Second Senior High School Tengzhou 277500,China) |
| |
| Abstract: | 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 = AD] 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. |
| |
| Keywords: | supercommutative simple Lie superalgebra divided power algebra grassmann algebra |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
