Quivers and matrix equations
type: Item
instance of: scholarly article
title: Quivers and matrix equations
zbMATH Open document ID: 0840.15011
DOI: 10.1016/0024-3795(95)90016-0
published in: Linear Algebra and its Applications
publication date: 1996-02-06T00:00:00Z
review text: In this clearly written paper, the author shows how to reduce each of the matrix equations \(AXB = C\) and \(AX - YB = C\) to a canonical form in which the solutions are evident. He goes on to explain the genesis of these canonical forms in the representation theory of quivers corresponding to the Dynkin diagrams of types \(A_3\) and \(A_4\).
reviewed by: G. E. Wall
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 841731
zbMATH Keywords: matrix equations
zbMATH Keywords: canonical form
zbMATH Keywords: quivers
zbMATH Keywords: Dynkin diagrams
author: William H. Gustafson
MaRDI profile type: Publication
full work available at URL: 0024-3795(95)90016-0
OpenAlex ID: W2073584966
description: scientific article; zbMATH DE number 841731