Some new results on Grobner-Shirshov bases for Lie algebras and around

被引：3
|
作者：
Bokut, L. A. [1 ,2 ]
Chen, Yuqun [1 ]
Obul, Abdukadir [3 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[2] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk 630090, Russia
[3] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2018年 / 28卷 / 08期
基金：
俄罗斯科学基金会;
关键词：
Grobner-Shirshov basis; Lie algebra; Omega-algebra; Gelfand-Dorfman-Novikov algebra; Leibniz algebra; extension;
D O I：
10.1142/S0218196718400027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We review Grobner-Shirshov bases for Lie algebras and survey some new results on Grobner-Shirshov bases for Omega-Lie algebras, Gelfand-Dorfman-Novikov algebras, Leibniz algebras, etc. Some applications are given, in particular, some characterizations of extensions of groups, associative algebras and Lie algebras are given.
引用
收藏
页码：1403 / 1423
页数：21
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