It discusses the relationship between left-supersymmetric structures on Lie superalgebra and its 1 th cohomology group.
讨论了李超代数上的左超对称结构与其上的1维上同调群的关系。
2
Since a Lie superalgebra can be associa ted with a Z2-graded group, properties of Z2-groups are discussed and Z2-graded structures of some special class es of groups are determined.
Theorem 3 Any enveloping Lie superalgebra of a solvable Lie triple supersystem is solvable, and if a Lie triple supersystem has some solvable enveloping Lie superalgebra, it is solvable.