Factorizations of Möbius gyrogroups

Detalhes bibliográficos
Autor(a) principal: Ferreira, Milton
Data de Publicação: 2009
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.8/3819
Resumo: In this paper, we consider a Möbius gyrogroup on a real Hilbert space (of finite or infinite dimension) and we obtain its factorization by gyrosubgroups and subgroups. It is shown that there is a duality relation between the quotient spaces and the orbits obtained. As an example, we present the factorization of the Möbius gyrogroup of the unit ball in R^n linked to the proper Lorentz group Spin+(1, n).
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spelling Factorizations of Möbius gyrogroupsMöbius gyrogroupsHilbert spacesQuotient spacesSectionsIn this paper, we consider a Möbius gyrogroup on a real Hilbert space (of finite or infinite dimension) and we obtain its factorization by gyrosubgroups and subgroups. It is shown that there is a duality relation between the quotient spaces and the orbits obtained. As an example, we present the factorization of the Möbius gyrogroup of the unit ball in R^n linked to the proper Lorentz group Spin+(1, n).Birkhäuser-VerlagIC-OnlineFerreira, Milton2019-02-07T15:37:20Z2009-072009-07-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/3819engFerreira M., Factorizations of Möbius gyrogroups, Adv. Appl. Clifford Algebr., 19 (2) (2009), 303-323.0188-70091661-490910.1007/s00006-009-0154-7info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-17T15:47:59Zoai:iconline.ipleiria.pt:10400.8/3819Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:47:50.530515Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Factorizations of Möbius gyrogroups
title Factorizations of Möbius gyrogroups
spellingShingle Factorizations of Möbius gyrogroups
Ferreira, Milton
Möbius gyrogroups
Hilbert spaces
Quotient spaces
Sections
title_short Factorizations of Möbius gyrogroups
title_full Factorizations of Möbius gyrogroups
title_fullStr Factorizations of Möbius gyrogroups
title_full_unstemmed Factorizations of Möbius gyrogroups
title_sort Factorizations of Möbius gyrogroups
author Ferreira, Milton
author_facet Ferreira, Milton
author_role author
dc.contributor.none.fl_str_mv IC-Online
dc.contributor.author.fl_str_mv Ferreira, Milton
dc.subject.por.fl_str_mv Möbius gyrogroups
Hilbert spaces
Quotient spaces
Sections
topic Möbius gyrogroups
Hilbert spaces
Quotient spaces
Sections
description In this paper, we consider a Möbius gyrogroup on a real Hilbert space (of finite or infinite dimension) and we obtain its factorization by gyrosubgroups and subgroups. It is shown that there is a duality relation between the quotient spaces and the orbits obtained. As an example, we present the factorization of the Möbius gyrogroup of the unit ball in R^n linked to the proper Lorentz group Spin+(1, n).
publishDate 2009
dc.date.none.fl_str_mv 2009-07
2009-07-01T00:00:00Z
2019-02-07T15:37:20Z
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://hdl.handle.net/10400.8/3819
url http://hdl.handle.net/10400.8/3819
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Ferreira M., Factorizations of Möbius gyrogroups, Adv. Appl. Clifford Algebr., 19 (2) (2009), 303-323.
0188-7009
1661-4909
10.1007/s00006-009-0154-7
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Birkhäuser-Verlag
publisher.none.fl_str_mv Birkhäuser-Verlag
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instacron_str RCAAP
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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