A characterization of root lattices
type: Item
instance of: scholarly article
title: A characterization of root lattices
zbMATH Open document ID: 0878.11026
DOI: 10.1016/0012-365X(95)00239-S
author: Dayanand S. Rajan
author: Anil M. Shende
published in: Discrete Mathematics
publication date: 1997-07-09T00:00:00Z
review text: A vector \(r\) of a lattice \(L\) is called relevant iff for every \(p\in L\setminus \{0\}\) the inequality \((p,p)> (p,r)\) holds. The authors prove that root lattices are exactly those lattices in which the set of minimal vectors equals the set of relevant vectors.
Mathematics Subject Classification ID: 11H31
Mathematics Subject Classification ID: 11H50
Mathematics Subject Classification ID: 52C17
zbMATH DE Number: 1018495
zbMATH Keywords: sphere packings
zbMATH Keywords: root lattices
zbMATH Keywords: minimal vectors
zbMATH Keywords: relevant vectors
reviewed by: Jörg M. Wills
MaRDI profile type: Publication
cites work: Q4023809
description: scientific article; zbMATH DE number 1018495