A new number field construction of the lattice E8


Autoria(s): Flores, André Luiz; Interlando, J.Carmelo; da Nóbrega Neto, Trajano Pires; Contiero, André Luís
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

27/05/2014

27/05/2014

01/10/2013

Resumo

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.

Formato

503-508

Identificador

http://dx.doi.org/10.1007/s13366-012-0095-5

Beitrage zur Algebra und Geometrie, v. 54, n. 2, p. 503-508, 2013.

0138-4821

2191-0383

http://hdl.handle.net/11449/76691

10.1007/s13366-012-0095-5

2-s2.0-84883820689

Idioma(s)

eng

Relação

Beitrage zur Algebra und Geometrie

Direitos

closedAccess

Palavras-Chave #Cyclotomic fields #Geometry of numbers #Lattices #Quadratic forms #Sphere packings
Tipo

info:eu-repo/semantics/article