Mesh geometries of root orbits of integral quadratic forms
type: Item
instance of: scholarly article
title: Mesh geometries of root orbits of integral quadratic forms
zbMATH Open document ID: 1202.15030
author: Daniel Simson
published in: Journal of Pure and Applied Algebra
publication date: 2010-10-19T00:00:00Z
review text: The author studies integral quadratic forms and their integral level sets by means of mesh translation quivers. Mesh geometries of roots of positive definite quadratic forms are studied in connection with root mesh quivers of forms associated to Dynkin diagrams \(A_n\), \(D_n\), \(E_6\), \(E_7\), \(E_8\) and the Auslander-Reiten quivers of the derived category of path algebras of the given Dynkin quivers. He also introduces the concept of morsification of a quadratic form, and the existence of mesh geometries in the integral level sets is discussed.
Mathematics Subject Classification ID: 15A63
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 18E35
Mathematics Subject Classification ID: 16G70
zbMATH DE Number: 5802616
zbMATH Keywords: mesh geometry
zbMATH Keywords: morsification
zbMATH Keywords: quiver
zbMATH Keywords: integral quadratic forms
zbMATH Keywords: Dynkin diagrams
zbMATH Keywords: Auslander-Reiten quivers
reviewed by: Andreas Arvanitoyeorgos
MaRDI profile type: Publication
full work available at URL: j.jpaa.2010.02.029
OpenAlex ID: W1989125084
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DOI: 10.1016/J.JPAA.2010.02.029
description: scientific article; zbMATH DE number 5802616