Finiteness of hermitian levels of some algebras

Detalhes bibliográficos
Autor(a) principal: Dos Santos, Clotilzio Moreira [UNESP]
Data de Publicação: 2011
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5269/bspm.v29i2.12850
http://hdl.handle.net/11449/72379
Resumo: We characterize the hermitian levels of quaternion and octonion algebras and of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process. It is shown that all values of the hermitian levels of quaternion algebras with the hat-involution also occur as hermitian levels of D. We give some limits to the levels of the algebra D over some ground field. © Soc. Paran. de Mat.
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spelling Finiteness of hermitian levels of some algebrasHermitian levelLevelOctonion algebraQuadratic formsQuaternion algebraSums of squaresWe characterize the hermitian levels of quaternion and octonion algebras and of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process. It is shown that all values of the hermitian levels of quaternion algebras with the hat-involution also occur as hermitian levels of D. We give some limits to the levels of the algebra D over some ground field. © Soc. Paran. de Mat.Department of Mathematics Ibilce/Unesp, S. J. Rio PretoDepartment of Mathematics Ibilce/Unesp, S. J. Rio PretoUniversidade Estadual Paulista (Unesp)Dos Santos, Clotilzio Moreira [UNESP]2014-05-27T11:25:51Z2014-05-27T11:25:51Z2011-04-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article69-80application/pdfhttp://dx.doi.org/10.5269/bspm.v29i2.12850Boletim da Sociedade Paranaense de Matematica, v. 29, n. 2, p. 69-80, 2011.0037-87122175-1188http://hdl.handle.net/11449/7237910.5269/bspm.v29i2.128502-s2.0-799537664312-s2.0-79953766431.pdf8552426799060034Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBoletim da Sociedade Paranaense de Matematica0,2100,210info:eu-repo/semantics/openAccess2023-10-03T06:02:23Zoai:repositorio.unesp.br:11449/72379Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:51:11.532196Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Finiteness of hermitian levels of some algebras
title Finiteness of hermitian levels of some algebras
spellingShingle Finiteness of hermitian levels of some algebras
Dos Santos, Clotilzio Moreira [UNESP]
Hermitian level
Level
Octonion algebra
Quadratic forms
Quaternion algebra
Sums of squares
title_short Finiteness of hermitian levels of some algebras
title_full Finiteness of hermitian levels of some algebras
title_fullStr Finiteness of hermitian levels of some algebras
title_full_unstemmed Finiteness of hermitian levels of some algebras
title_sort Finiteness of hermitian levels of some algebras
author Dos Santos, Clotilzio Moreira [UNESP]
author_facet Dos Santos, Clotilzio Moreira [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Dos Santos, Clotilzio Moreira [UNESP]
dc.subject.por.fl_str_mv Hermitian level
Level
Octonion algebra
Quadratic forms
Quaternion algebra
Sums of squares
topic Hermitian level
Level
Octonion algebra
Quadratic forms
Quaternion algebra
Sums of squares
description We characterize the hermitian levels of quaternion and octonion algebras and of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process. It is shown that all values of the hermitian levels of quaternion algebras with the hat-involution also occur as hermitian levels of D. We give some limits to the levels of the algebra D over some ground field. © Soc. Paran. de Mat.
publishDate 2011
dc.date.none.fl_str_mv 2011-04-12
2014-05-27T11:25:51Z
2014-05-27T11:25:51Z
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/10.5269/bspm.v29i2.12850
Boletim da Sociedade Paranaense de Matematica, v. 29, n. 2, p. 69-80, 2011.
0037-8712
2175-1188
http://hdl.handle.net/11449/72379
10.5269/bspm.v29i2.12850
2-s2.0-79953766431
2-s2.0-79953766431.pdf
8552426799060034
url http://dx.doi.org/10.5269/bspm.v29i2.12850
http://hdl.handle.net/11449/72379
identifier_str_mv Boletim da Sociedade Paranaense de Matematica, v. 29, n. 2, p. 69-80, 2011.
0037-8712
2175-1188
10.5269/bspm.v29i2.12850
2-s2.0-79953766431
2-s2.0-79953766431.pdf
8552426799060034
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Boletim da Sociedade Paranaense de Matematica
0,210
0,210
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 69-80
application/pdf
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_ 1808128283929214976

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