A new number field construction of the D4-lattice

Detalhes bibliográficos
Autor(a) principal: Interlando, J. Carmelo
Data de Publicação: 2018
Outros Autores: Lopes, José Othon Dantas, da Nóbrega Neto, Trajano Pires [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.12732/ijam.v31i2.11
http://hdl.handle.net/11449/232731
Resumo: A classical problem in lattice theory is to determine whether a given lattice can be realized as OK-lattice, where OK is the ring of integers of some number field K. In this work we show that the lattice D4 can be realized as an OF -lattice for infinitely many totally real biquadratic fields F.
id UNSP_1afebb20bf4829d2d939455bc38091f8
oai_identifier_str oai:repositorio.unesp.br:11449/232731
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling A new number field construction of the D4-latticeLatticesNumber fieldsSphere packingsA classical problem in lattice theory is to determine whether a given lattice can be realized as OK-lattice, where OK is the ring of integers of some number field K. In this work we show that the lattice D4 can be realized as an OF -lattice for infinitely many totally real biquadratic fields F.Department of Mathematics and Statistics San Diego State UniversityDepartment of Mathematics Federal University of CearáDepartment of Mathematics São Paulo State UniversityDepartment of Mathematics São Paulo State UniversitySan Diego State UniversityFederal University of CearáUniversidade Estadual Paulista (UNESP)Interlando, J. CarmeloLopes, José Othon Dantasda Nóbrega Neto, Trajano Pires [UNESP]2022-04-30T07:05:12Z2022-04-30T07:05:12Z2018-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article299-305http://dx.doi.org/10.12732/ijam.v31i2.11International Journal of Applied Mathematics, v. 31, n. 2, p. 299-305, 2018.1314-80601311-1728http://hdl.handle.net/11449/23273110.12732/ijam.v31i2.112-s2.0-85045843389Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Applied Mathematicsinfo:eu-repo/semantics/openAccess2022-04-30T07:05:12Zoai:repositorio.unesp.br:11449/232731Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-30T07:05:12Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A new number field construction of the D4-lattice
title A new number field construction of the D4-lattice
spellingShingle A new number field construction of the D4-lattice
Interlando, J. Carmelo
Lattices
Number fields
Sphere packings
title_short A new number field construction of the D4-lattice
title_full A new number field construction of the D4-lattice
title_fullStr A new number field construction of the D4-lattice
title_full_unstemmed A new number field construction of the D4-lattice
title_sort A new number field construction of the D4-lattice
author Interlando, J. Carmelo
author_facet Interlando, J. Carmelo
Lopes, José Othon Dantas
da Nóbrega Neto, Trajano Pires [UNESP]
author_role author
author2 Lopes, José Othon Dantas
da Nóbrega Neto, Trajano Pires [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv San Diego State University
Federal University of Ceará
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Interlando, J. Carmelo
Lopes, José Othon Dantas
da Nóbrega Neto, Trajano Pires [UNESP]
dc.subject.por.fl_str_mv Lattices
Number fields
Sphere packings
topic Lattices
Number fields
Sphere packings
description A classical problem in lattice theory is to determine whether a given lattice can be realized as OK-lattice, where OK is the ring of integers of some number field K. In this work we show that the lattice D4 can be realized as an OF -lattice for infinitely many totally real biquadratic fields F.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
2022-04-30T07:05:12Z
2022-04-30T07:05:12Z
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/10.12732/ijam.v31i2.11
International Journal of Applied Mathematics, v. 31, n. 2, p. 299-305, 2018.
1314-8060
1311-1728
http://hdl.handle.net/11449/232731
10.12732/ijam.v31i2.11
2-s2.0-85045843389
url http://dx.doi.org/10.12732/ijam.v31i2.11
http://hdl.handle.net/11449/232731
identifier_str_mv International Journal of Applied Mathematics, v. 31, n. 2, p. 299-305, 2018.
1314-8060
1311-1728
10.12732/ijam.v31i2.11
2-s2.0-85045843389
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Applied Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 299-305
dc.source.none.fl_str_mv Scopus
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_ 1797789729662435328

Registros relacionados