A method to find generators of a semi-simple Lie group via the topology of its flag manifolds

dc.contributor.authordos Santos, Ariane Luzia [UNESP]
dc.contributor.authorSan Martin, Luiz A. B.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2018-12-11T17:02:50Z
dc.date.available2018-12-11T17:02:50Z
dc.date.issued2017-10-01
dc.description.abstractIn this paper we continue to develop the topological method to get semigroup generators of semi-simple Lie groups. Consider a subset Γ ⊂ G that contains a semi-simple subgroup G1 of G. If one can show that Γ does not leave invariant a contractible subset on any flag manifold of G, then Γ generates G if Ad (Γ) generates a Zariski dense subgroup of the algebraic group Ad (G). The proof is reduced to check that some specific closed orbits of G1 in the flag manifolds of G are not trivial in the sense of algebraic topology. Here, we consider three different cases of semi-simple Lie groups G and subgroups G1⊂ G.en
dc.description.affiliationDepartamento de Ciências da Educação FCL - Unesp, Rodovia Araraquara-Jaú, km 1
dc.description.affiliationDepartamento de Matemática Imecc - Unicamp, Cidade Universitária Zeferino Vaz, Rua Sérgio Buarque de Holanda, 651
dc.description.affiliationUnespDepartamento de Ciências da Educação FCL - Unesp, Rodovia Araraquara-Jaú, km 1
dc.format.extent259-280
dc.identifierhttp://dx.doi.org/10.1007/s00233-016-9798-5
dc.identifier.citationSemigroup Forum, v. 95, n. 2, p. 259-280, 2017.
dc.identifier.doi10.1007/s00233-016-9798-5
dc.identifier.file2-s2.0-84966702659.pdf
dc.identifier.issn0037-1912
dc.identifier.scopus2-s2.0-84966702659
dc.identifier.urihttp://hdl.handle.net/11449/172944
dc.language.isoeng
dc.relation.ispartofSemigroup Forum
dc.relation.ispartofsjr0,917
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectFlag manifolds
dc.subjectSemi-simple Lie groups
dc.subjectSemigroup generators of groups
dc.titleA method to find generators of a semi-simple Lie group via the topology of its flag manifoldsen
dc.typeArtigo
unesp.author.lattes3231282086023916[1]
unesp.author.orcid0000-0002-4980-0805[1]

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