Some new results on Gröbner–Shirshov bases for Lie algebras and around-Reference-Cited by-同舟云学术

Some new results on Gröbner–Shirshov bases for Lie algebras and around

Published:2018-12 Issue:08 Volume:28 Page:1403-1423
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Bokut L. A.¹²,Chen Yuqun¹,Obul Abdukadir³

Affiliation:

1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China

2. Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk 630090, Russia

3. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, Xinjiang, P. R. China

Abstract

We review Gröbner–Shirshov bases for Lie algebras and survey some new results on Gröbner–Shirshov bases for [Formula: see text]-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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196718400027

Reference35 articles.

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