A CRITERION FOR PRIMENESS OF ENVELOPING-ALGEBRAS OF LIE-SUPERALGEBRAS

[摘要] We show that if the determinant of a certain matrix obtained from the Lie product on the odd part of a Lie superalgebra is nonzero, then the enveloping algebra of the Lie superalgebra is a prime ring. We then apply this criterion to show that the enveloping algebra of a classical simple Lie superalgebra not of type b(n) is a prime ring.

[发布日期] 1990-12-31