Constructions of algebraic lattices

Detalhes bibliográficos
Autor(a) principal: Andrade,A.A
Data de Publicação: 2010
Outros Autores: Ferrari,A.J, Benedito,C.W.O, Costa,S.I.R
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000300010
Resumo: In this work we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2, 3, 4, 6, 8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,6,8 and K12. These algebraic lattices are constructed through twisted canonical homomorphism via ideals of a ring of algebraic integers. Mathematical subject classification: 18B35, 94A15, 20H10.
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spelling Constructions of algebraic latticesalgebraic latticealgebraic number fieldcenter densitytwisted canonical homomorphismIn this work we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2, 3, 4, 6, 8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,6,8 and K12. These algebraic lattices are constructed through twisted canonical homomorphism via ideals of a ring of algebraic integers. Mathematical subject classification: 18B35, 94A15, 20H10.Sociedade Brasileira de Matemática Aplicada e Computacional2010-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000300010Computational & Applied Mathematics v.29 n.3 2010reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022010000300010info:eu-repo/semantics/openAccessAndrade,A.AFerrari,A.JBenedito,C.W.OCosta,S.I.Reng2010-11-22T00:00:00Zoai:scielo:S1807-03022010000300010Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2010-11-22T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Constructions of algebraic lattices
title Constructions of algebraic lattices
spellingShingle Constructions of algebraic lattices
Andrade,A.A
algebraic lattice
algebraic number field
center density
twisted canonical homomorphism
title_short Constructions of algebraic lattices
title_full Constructions of algebraic lattices
title_fullStr Constructions of algebraic lattices
title_full_unstemmed Constructions of algebraic lattices
title_sort Constructions of algebraic lattices
author Andrade,A.A
author_facet Andrade,A.A
Ferrari,A.J
Benedito,C.W.O
Costa,S.I.R
author_role author
author2 Ferrari,A.J
Benedito,C.W.O
Costa,S.I.R
author2_role author
author
author
dc.contributor.author.fl_str_mv Andrade,A.A
Ferrari,A.J
Benedito,C.W.O
Costa,S.I.R
dc.subject.por.fl_str_mv algebraic lattice
algebraic number field
center density
twisted canonical homomorphism
topic algebraic lattice
algebraic number field
center density
twisted canonical homomorphism
description In this work we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2, 3, 4, 6, 8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,6,8 and K12. These algebraic lattices are constructed through twisted canonical homomorphism via ideals of a ring of algebraic integers. Mathematical subject classification: 18B35, 94A15, 20H10.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000300010
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000300010
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022010000300010
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.29 n.3 2010
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
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reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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