Reversibility properties of semigroup actions on homogeneous spaces

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dc.contributor.authordos Reis, Ronan A. [UNESP]
dc.contributor.authorSan Martin, Luiz A. B.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-20T13:23:32Z
dc.date.available2014-05-20T13:23:32Z
dc.date.issued2012-06-01
dc.description.abstractThis paper studies reversibility of subsemigroups acting on homogeneous spaces. The reversor set of a subsemigroup is defined and it is related to the invariant control sets for semigroups acting on certain homogeneous spaces. Let G be a connected noncompact semi-simple Lie group with finite center. Let L be a subgroup of G. Assume that S is a subsemigroup of G with intS not equal empty set. The main result characterizes the reversibility of the S-action on G/L in terms of the actions of S and L on the flag manifolds of G.en
dc.description.affiliationUNESP, Dept Matemat Estat & Comp, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.affiliationUniv Estadual Campinas, Math Inst, Dept Math, Campinas, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Matemat Estat & Comp, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 07/06896-5
dc.description.sponsorshipIdCNPq: 303755/09-1
dc.format.extent472-486
dc.identifierhttp://dx.doi.org/10.1007/s00233-012-9375-5
dc.identifier.citationSemigroup Forum. New York: Springer, v. 84, n. 3, p. 472-486, 2012.
dc.identifier.doi10.1007/s00233-012-9375-5
dc.identifier.issn0037-1912
dc.identifier.urihttp://hdl.handle.net/11449/7107
dc.identifier.wosWOS:000306590200004
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofSemigroup Forum
dc.relation.ispartofjcr0.492
dc.relation.ispartofsjr0,917
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectSemigroupsen
dc.subjectSemi-simple Lie groupsen
dc.subjectReversibilityen
dc.subjectFlag manifolden
dc.titleReversibility properties of semigroup actions on homogeneous spacesen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Ciências e Tecnologia, Presidente Prudentept
unesp.departmentMatemática e Computação - FCTpt

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