一类Contact型李超代数的部分超导子

A Part of Superderivation For a Family of Lie Superalgebras of Contact Type

研究了特征p>3的域上外代数Λ(n)与有限维Contact型李代数K(m,t)的张量积所构成的李超代数Λ(n)K(m,t)的结构.通过计算,确定了这类李超代数的乘法生成元,进而获得了它们的部分超导子,推广了李代数的相应结果.

The authors study the structure of the tensor product of the exterior algebra and the finite-dimensional generalized Contact algebra over a field of characteristic p3,which is a Lie superalgebra.By means of computation,the generators are first given and then a part of superderivation is determined.This generalizes the analogous results in Lie algebras.