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Möbius gyrogroups: a Clifford algebra approach

2011-02Artigo científico Acesso aberto
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dc.contributor.authorFerreira, Milton
dc.contributor.authorRen, G.
dc.date.accessioned2019-02-07T15:27:13Z
dc.date.available2019-02-07T15:27:13Z
dc.date.issued2011-02
dc.description.abstractUsing the Clifford algebra formalism we study the Möbius gyrogroup of the ball of radius t of the paravector space, where V is a finite-dimensional real vector space. We characterize all the gyro-subgroups of the Möbius gyrogroup and we construct left and right factorizations with respect to an arbitrary gyro-subgroup for the paravector ball. The geometric and algebraic properties of the equivalence classes are investigated. We show that the equivalence classes locate in a k-dimensional sphere, where k is the dimension of the gyro-subgroup, and the resulting quotient spaces are again Möbius gyrogroups. With the algebraic structure of the factorizations, we study the sections of Möbius fiber bundles inherited by the Möbius projectors.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationFerreira M., and Ren G., Möbius gyrogroups: A Clifford algebra approach, J. Algebra 328(1) (2011), 230-253pt_PT
dc.identifier.doihttps://doi.org/10.1016/j.jalgebra.2010.05.014pt_PT
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/10400.8/3817
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0021869310002425pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectMöbius gyrogroupspt_PT
dc.subjectMöbius projectorspt_PT
dc.subjectQuotient Möbius gyrogroupspt_PT
dc.subjectMöbius fiber bundlespt_PT
dc.titleMöbius gyrogroups: a Clifford algebra approachpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage253pt_PT
oaire.citation.issue1pt_PT
oaire.citation.startPage230pt_PT
oaire.citation.titleJournal of Algebrapt_PT
oaire.citation.volume328pt_PT
person.familyNameFerreira
person.givenNameMilton
person.identifier.ciencia-idCA19-2009-F26D
person.identifier.orcid0000-0003-1816-8293
person.identifier.ridA-2004-2015
person.identifier.scopus-author-id12144179800
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationb1460cdc-4ced-46c6-a637-68b425d104dc
relation.isAuthorOfPublication.latestForDiscoveryb1460cdc-4ced-46c6-a637-68b425d104dc

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