The embedding theorem ofZ-graded Lie superalgebras is given and proved. As a subsidiary result it is proved that a transitiveZ-graded restricted lie superalgebm $G = \mathop \oplus \limits_{i \geqslant - 1} G_i $ must...The embedding theorem ofZ-graded Lie superalgebras is given and proved. As a subsidiary result it is proved that a transitiveZ-graded restricted lie superalgebm $G = \mathop \oplus \limits_{i \geqslant - 1} G_i $ must be isomorphic toW(m,n, 1) if the dimension ofG i satisfies a certain condition.展开更多
文摘The embedding theorem ofZ-graded Lie superalgebras is given and proved. As a subsidiary result it is proved that a transitiveZ-graded restricted lie superalgebm $G = \mathop \oplus \limits_{i \geqslant - 1} G_i $ must be isomorphic toW(m,n, 1) if the dimension ofG i satisfies a certain condition.
