一类Contact型李超代数的超导子代数  

Superderivation algebras for a family of Lie superalgebras of contact type

作　　者：唐黎明[1] 刘文德[1] 梁艳 

机构地区：[1]哈尔滨师范大学数学科学学院,哈尔滨150025 [2]大庆市高新区学校,大庆163319

出　　处：《黑龙江大学自然科学学报》2012年第6期735-742,共8页Journal of Natural Science of Heilongjiang University

基　　金：黑龙江省杰出青年基金资助项目(JC201004)

摘　　要：研究特征p>3的域上的外代数与有限维Contact型李代数的张量积所构成的李超代数的结构。通过计算确定这类李超代数的乘法生成元,进而获得它们的超导子代数。此类Contact型李超代数的超导子均来自外代数的导子代数,以及以除幂代数为底代数的Contact型李代数的外导子。The structure of the Lie superalgebra （ that is, the tensor product of the exterior algebra and the finite-di- mensional generalized Contact-type Lie algebra over a field of characteristic p 〉 3 ） is considered. By means of com- putation, the generators are first given and then the superderivation algebra is determined. Superderivation of the Lie superalgebra of Contact-type consists of derivation of exterior algebra and derivation of Contact-type Lie algebra for which its underlying algebra is divided power algebra.

关 键 词：Contact型李代数 外代数 超导子 

分 类 号：O152.2[理学—数学]