讨论了李超代数Ω的内蕴性质,给出并证明了李超代数Ω具有非退化结合型的充分与必要条件,进而确定了所有限制Ω型李超代数.
The intrinsic properties of Lie superalgebra Ω are discussed.The sufficient and necessary conditions of Lie superalgebra Ω with a nonsingular associative form are given and proved.Moreover,the all retrict Lie superalgebras of Ω type are determined.