Grobner-Shirshov bases for relations of a Lie algebra and its enveloping algebra

被引：0
|
作者：
Bokut, LA [1 ]
Malcolmson, P [1 ]
机构：
[1] Math Inst, Novosibirsk 630090, Russia
来源：
ALGEBRAS AND COMBINATORICS | 1999年
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that a set of relations for a Lie algebra is a Grobner-Shirshov basis for the relations of the Lie algebra if and only if it is a Grobner-Shirshov basis for the relations of the corresponding associative enveloping algebra. AMS-MOS(1991) Subject Classifications: Primary 17B35; Secondary 16S30, 17B01, 13P10. Keywords: Grobner basis, enveloping algebra.
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页码：47 / 54
页数：8
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