Grobner-Shirshov bases for Lie superalgebras and their universal enveloping algebras

被引：26
|
作者：
Bokut, LA [1 ]
Kang, SJ
Lee, KH
Malcolmson, P
机构：
[1] Math Inst, Novosibirsk 630090, Russia
[2] Korea Inst Adv Study, Sch Math, Seoul 130010, South Korea
[3] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea
[4] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
来源：
JOURNAL OF ALGEBRA | 1999年 / 217卷 / 02期
关键词：
D O I：
10.1006/jabr.1998.7810
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a set of monic polynomials in a free Lie superalgebra is a Grobner-Shirshov basis for a Lie superalgebra if and only if it is a Grobner-Shirshov basis for its universal enveloping algebra. We investigate the structure of Grobner-Shirshov bases for Kac-Moody superalgebras and give explicit constructions of Grobner-Shirshov bases for classical Lie superalgebras. (C) 1999 Academic Press.
引用
收藏
页码：461 / 495
页数：35
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