Abelian gradings on upper-triangular matrices
type: Item
instance of: scholarly article
title: Abelian gradings on upper-triangular matrices
zbMATH Open document ID: 1025.16020
author: D. Massart
published in: Archiv der Mathematik
publication date: 2003-07-08T00:00:00Z
review text: Let \(F\) be an algebraically closed field of characteristic zero and let \(G\) be a finite Abelian group. The authors describe all \(G\)-gradings of the algebra of upper-triangular matrices. It is shown that each such grading is isomorphic to an elementary grading, i.e. to a grading for which all (upper-triangular) matrix units are homogeneous elements.
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16S50
zbMATH DE Number: 1947296
zbMATH Keywords: group gradings
zbMATH Keywords: matrix algebras
zbMATH Keywords: upper-triangular matrices
zbMATH Keywords: elementary gradings
reviewed by: Constantin Năstăsescu
MaRDI profile type: Publication
full work available at URL: s000130300001
OpenAlex ID: W2026657865
DOI: 10.1007/S000130300001
description: scientific article; zbMATH DE number 1947296