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

被引：20
|
作者：
BELL, AD
机构：
[1] Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 1990年 / 69卷 / 02期
关键词：
D O I：
10.1016/0022-4049(90)90036-H
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：111 / 120
页数：10
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