A Lie grading which is not a semigroup grading
type: Item
instance of: scholarly article
title: A Lie grading which is not a semigroup grading
zbMATH Open document ID: 1146.17028
author: Alberto Elduque
published in: Linear Algebra and its Applications
publication date: 2006-11-15T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0512618
review text: In this note, the author points out that he has observed a mistake in the proof of an assertion by Patera and Zassenhaus published in 1989 and provides a counterexample of this assertion by constructing a graded Lie algebra whose grading is not given by a semigroup.
Mathematics Subject Classification ID: 17B70
zbMATH DE Number: 5072870
zbMATH Keywords: Lie grading
zbMATH Keywords: semigroup
zbMATH Keywords: counterexample
Wikidata QID: Q115344922
reviewed by: Juan Núñez Valdés
MaRDI profile type: Publication
OpenAlex ID: W1992001702
arXiv ID: math/0512618
cites work: On Lie gradings. I
DOI: 10.1016/J.LAA.2006.02.006
description: scientific article