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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/76691
Title: 
A new number field construction of the lattice E8
Author(s): 
Institution: 
  • Universidade Federal de Alagoas (UFAL)
  • San Diego State University
  • Universidade Estadual Paulista (UNESP)
ISSN: 
  • 0138-4821
  • 2191-0383
Abstract: 
Known number theoretical constructions of the lattice E8 use the cyclotomic fields Q(ζ15), Q(ζ20), and Q(ζ24). In this work, an infinite family of Abelian number fields yielding rotated versions of the lattice E 8 is exhibited. © 2012 The Managing Editors.
Issue Date: 
1-Oct-2013
Citation: 
Beitrage zur Algebra und Geometrie, v. 54, n. 2, p. 503-508, 2013.
Time Duration: 
503-508
Keywords: 
  • Cyclotomic fields
  • Geometry of numbers
  • Lattices
  • Quadratic forms
  • Sphere packings
Source: 
http://dx.doi.org/10.1007/s13366-012-0095-5
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/76691
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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