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Factorizations of Möbius gyrogroups

Bibliographic Details
Main Author: Ferreira, Milton
Publication Date: 2009
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.8/3819
Summary: 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-VerlagRepositório IC-OnlineFerreira, Milton2019-02-07T15:37:20Z2009-072009-07-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/3819eng0188-70091661-490910.1007/s00006-009-0154-7info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-02-25T15:13:43Zoai:iconline.ipleiria.pt:10400.8/3819Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T20:52:56.274694Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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 Repositório 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 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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