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.

引用

页码：111 / 120

页数：10

共 7 条

[1] ZERO DIVISORS IN ENVELOPING-ALGEBRAS OF GRADED LIE-ALGEBRAS [J].