Constructions of algebraic lattices
Autor(a) principal: | |
---|---|
Data de Publicação: | 2010 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1590/S1807-03022010000300010 http://hdl.handle.net/11449/22173 |
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. |
id |
UNSP_c8c8955961fc73046c918a098eb00260 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/22173 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
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.UNESP IBILCE Department of MathematicsUNICAMP IMECC Department of Applied MathematicsUNICAMP IMECC Department of MathematicsUNESP IBILCE Department of MathematicsSociedade Brasileira de Matemática Aplicada e ComputacionalUniversidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Andrade, A. A. [UNESP]Ferrari, A. J.Benedito, C. W. O.Costa, S. I. R.2014-05-20T14:02:56Z2014-05-20T14:02:56Z2010-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article493-505application/pdfhttp://dx.doi.org/10.1590/S1807-03022010000300010Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 29, n. 3, p. 493-505, 2010.1807-0302http://hdl.handle.net/11449/2217310.1590/S1807-03022010000300010S1807-03022010000300010WOS:000287545100010S1807-03022010000300010.pdf894049834748198279163755740508210000-0002-4806-3399SciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational & Applied Mathematicsinfo:eu-repo/semantics/openAccess2023-10-10T06:06:41Zoai:repositorio.unesp.br:11449/22173Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-10T06:06:41Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Constructions of algebraic lattices |
title |
Constructions of algebraic lattices |
spellingShingle |
Constructions of algebraic lattices Andrade, A. A. [UNESP] 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. [UNESP] |
author_facet |
Andrade, A. A. [UNESP] 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.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Universidade Estadual de Campinas (UNICAMP) |
dc.contributor.author.fl_str_mv |
Andrade, A. A. [UNESP] 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 2014-05-20T14:02:56Z 2014-05-20T14:02:56Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1590/S1807-03022010000300010 Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 29, n. 3, p. 493-505, 2010. 1807-0302 http://hdl.handle.net/11449/22173 10.1590/S1807-03022010000300010 S1807-03022010000300010 WOS:000287545100010 S1807-03022010000300010.pdf 8940498347481982 7916375574050821 0000-0002-4806-3399 |
url |
http://dx.doi.org/10.1590/S1807-03022010000300010 http://hdl.handle.net/11449/22173 |
identifier_str_mv |
Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 29, n. 3, p. 493-505, 2010. 1807-0302 10.1590/S1807-03022010000300010 S1807-03022010000300010 WOS:000287545100010 S1807-03022010000300010.pdf 8940498347481982 7916375574050821 0000-0002-4806-3399 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Computational & Applied Mathematics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
493-505 application/pdf |
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 |
SciELO reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1799964509773758464 |