Constructions of algebraic lattices

Bibliographic Details
Main Author: Andrade, A. A. [UNESP]
Publication Date: 2010
Other Authors: Ferrari, A. J., Benedito, C. W. O., Costa, S. I. R.
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://dx.doi.org/10.1590/S1807-03022010000300010
http://hdl.handle.net/11449/22173
Summary: 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.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_ 1797789351370817536

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