一类Hamilton型李超代数的超导子代数

SUPERDERIVATION ALGEBRAS OF A FAMILY OF HAMILTONIAN LIE SUPERALGEBRAS

研究特征p>3的域上外代数与有限维Ham ilton李代数的张量积所构成的李超代数的结构.确定了这类李超代数的乘法生成元,进而确定了这类李超代数的超导子代数.

This paper considers the derivations of the tensor product of the exterior superalgebra and the Hamiltonian Lie algebra over a field of characteristic P 〉 3. The generating set is first given and then the superderivations are completely determined.