Finiteness of hermitian levels of some algebras
Autor(a) principal: | |
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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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Repositório Institucional da UNESP |
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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 |