Connected components of open semigroups in semi-simple Lie groups

dc.creatordo Rocio, OG
dc.creatorSan Martin, LAB
dc.date2004
dc.dateJUN
dc.date2014-11-17T04:06:04Z
dc.date2015-11-26T16:37:42Z
dc.date2014-11-17T04:06:04Z
dc.date2015-11-26T16:37:42Z
dc.date.accessioned2018-03-28T23:20:53Z
dc.date.available2018-03-28T23:20:53Z
dc.identifierSemigroup Forum. Springer, v. 69, n. 1, n. 1, n. 29, 2004.
dc.identifier0037-1912
dc.identifierWOS:000221905400001
dc.identifier10.1007/s00233-004-0105-5
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/56743
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/56743
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/56743
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1272097
dc.descriptionThis paper studies connected components of open subsemigroups of non-compact semi-simple Lie groups by using control sets in the flag manifolds and their coverings. The concept of recurrent component is introduced and a method is given by which their number can be computed. It is shown that the union of all recurrent components is a semigroup. The idea of mid-reversibility comes up to show that an open semigroup has just one semigroup component if the identity belongs to its closure. A necessary and sufficient condition for mid-reversibility is proved showing that e.g. in a complex group any open semigroup is mid-reversible.
dc.description69
dc.description1
dc.description1
dc.description29
dc.languageen
dc.publisherSpringer
dc.publisherNew York
dc.publisherEUA
dc.relationSemigroup Forum
dc.relationSemigr. Forum
dc.rightsfechado
dc.rightshttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dc.sourceWeb of Science
dc.subjectsemigroups
dc.subjectsemi-simple Lie groups
dc.subjectflag manifolds
dc.subjectFlag Manifolds
dc.titleConnected components of open semigroups in semi-simple Lie groups
dc.typeArtículos de revistas


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