Cut lattices and equiangular lines
type: Item
instance of: scholarly article
title: Cut lattices and equiangular lines
zbMATH Open document ID: 0849.52012
published in: European Journal of Combinatorics
publication date: 1996-11-05T00:00:00Z
review text: The authors consider relations between cut lattices \(L_n\) and systems of equiangular lines (i.e., sets of lines where the acute angle between any pair is the same). They investigate cut-sublattices of \(L_n\) generated by subsets of cuts. For even \(n\), \(L_n\) is generated by an odd system. Equiangular line systems related to \(L_n\) are described, and a sequence of symmetric 2-designs, also related to these line systems, is defined. Further on, certain relations to Hadamard matrices are presented.
reviewed by: Horst Martini
Mathematics Subject Classification ID: 52B20
Mathematics Subject Classification ID: 05B99
zbMATH DE Number: 871011
zbMATH Keywords: cut polytope
zbMATH Keywords: spherical designs
zbMATH Keywords: cut lattices
zbMATH Keywords: equiangular lines
zbMATH Keywords: 2-designs
author: Michel Deza
author: Viacheslav Grishukhin
MaRDI profile type: Publication
full work available at URL: eujc.1996.0013
OpenAlex ID: W2009395563
DOI: 10.1006/EUJC.1996.0013
description: scientific article; zbMATH DE number 871011