On the uniqueness of the Leech lattice
type: Item
instance of: scholarly article
title: On the uniqueness of the Leech lattice
zbMATH Open document ID: 0886.11039
published in: European Journal of Combinatorics
publication date: 1997-07-27T00:00:00Z
review text: The author carefully calculates some properties of neighbors and even unimodular lattices. He uses his results to clear up some misstatements and typographical errors from \textit{B. B. Venkov}'s article [Proc. Steklova Inst. Math. 4, 63--74 (1980); translation from Tr. Mat. Inst. Steklova 148, 65--76 (1978; Zbl 0443.10021)], which dealt with, among other things, the uniqueness of the Leech lattice. These errors were unfortunately carried over to the monographs [\textit{J. H. Conway} and \textit{N. J. A. Sloane}, Sphere packings, lattices, and groups, Grundlehren der Mathematik 260 (1982; Zbl 0634.52002) and \textit{W. Ebeling}, Lattices and codes, Vieweg (1994; Zbl 0805.11048)].
reviewed by: Katherine Roegner
Mathematics Subject Classification ID: 11H06
Mathematics Subject Classification ID: 11E12
zbMATH DE Number: 1022852
zbMATH Keywords: neighbors
zbMATH Keywords: even unimodular lattices
zbMATH Keywords: Leech lattice
author: Zhe-Xian Wan
MaRDI profile type: Publication
OpenAlex ID: W2004982261
DOI: 10.1006/EUJC.1996.0098
description: scientific article; zbMATH DE number 1022852