Gradings on \(\mathfrak {g}_2\)
type: Item
instance of: scholarly article
title: Gradings on \(\mathfrak {g}_2\)
zbMATH Open document ID: 1146.17027
author: Cristina Draper Fontanals
author: Candido Martín González
published in: Linear Algebra and its Applications
publication date: 2006-11-15T00:00:00Z
review text: The authors deal with gradings on simple Lie and Jordan algebras and question ourselves if there are nontoral gradings of simple Lie algebras different from those already known. They develop a method for constructing nontoral gradings refining a toral one when possible and they also give techniques which can be possibly applied in other contexts. They conclude that there are only two fine gradings, one nontoral, 24 toral ones and of these, 20 are equivalent to grading by cyclic groups.
Mathematics Subject Classification ID: 17B70
Mathematics Subject Classification ID: 17B25
Mathematics Subject Classification ID: 17B40
zbMATH DE Number: 5072853
zbMATH Keywords: exceptional Lie algebra
zbMATH Keywords: gradings
zbMATH Keywords: \(G_2\)
zbMATH Keywords: torus
reviewed by: Juan Núñez Valdés
MaRDI profile type: Publication
full work available at URL: j.laa.2006.01.017
OpenAlex ID: W1981368533
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DOI: 10.1016/J.LAA.2006.01.017
description: scientific article; zbMATH DE number 5072853