【摘要】 本文研究了具有约化偶部的李超代数的完备性 .特别给出了具有单偶部的李超代数完备的充要条件 .同时给出了一些构造完备李超代数的方法 .更多还原

【Abstract】 In this paper, the completeness of Lie superalgebras with the completely reducible action of the even part on the odd part is obtained. In particular, the necessary and suffcient condition that the Lie superalgebras with simple even part are complete is obtained, and meanwhile, some methods of constructing complete Lie superalgebras are given.$$$$更多还原