A new number field construction of the lattice E8
| dc.contributor.author | Flores, André Luiz | |
| dc.contributor.author | Interlando, J.Carmelo | |
| dc.contributor.author | da Nóbrega Neto, Trajano Pires [UNESP] | |
| dc.contributor.author | Contiero, André Luís | |
| dc.contributor.institution | Universidade Federal de Alagoas (UFAL) | |
| dc.contributor.institution | San Diego State University | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2014-05-27T11:30:46Z | |
| dc.date.available | 2014-05-27T11:30:46Z | |
| dc.date.issued | 2013-10-01 | |
| dc.description.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. | en |
| dc.description.affiliation | Departamento de Matemática Universidade Federal de Alagoas, Maceió, AL | |
| dc.description.affiliation | Department of Mathematics and Statistics San Diego State University, San Diego, CA | |
| dc.description.affiliation | Departamento de Matemática Universidade Estadual Paulista, São José do Rio Preto, SP | |
| dc.description.affiliationUnesp | Departamento de Matemática Universidade Estadual Paulista, São José do Rio Preto, SP | |
| dc.format.extent | 503-508 | |
| dc.identifier | http://dx.doi.org/10.1007/s13366-012-0095-5 | |
| dc.identifier.citation | Beitrage zur Algebra und Geometrie, v. 54, n. 2, p. 503-508, 2013. | |
| dc.identifier.doi | 10.1007/s13366-012-0095-5 | |
| dc.identifier.issn | 0138-4821 | |
| dc.identifier.issn | 2191-0383 | |
| dc.identifier.scopus | 2-s2.0-84883820689 | |
| dc.identifier.uri | http://hdl.handle.net/11449/76691 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Beitrage zur Algebra und Geometrie | |
| dc.relation.ispartofsjr | 0,339 | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Scopus | |
| dc.subject | Cyclotomic fields | |
| dc.subject | Geometry of numbers | |
| dc.subject | Lattices | |
| dc.subject | Quadratic forms | |
| dc.subject | Sphere packings | |
| dc.title | A new number field construction of the lattice E8 | en |
| dc.type | Artigo | |
| dcterms.license | http://www.springer.com/open+access/authors+rights | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática - IBILCE | pt |