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dc.contributor.authorIgnatyev, Mikhail V.
dc.contributor.authorPenkov, Ivan
dc.contributor.authorWolf, Joseph A.
dc.date.accessioned2016-09-22T10:46:37Z
dc.date.available2016-09-22T10:46:37Z
dc.date.issued2016-05-10
dc.identifier.urihttp://publications.mfo.de/handle/mfo/194
dc.descriptionOWLF 2015en_US
dc.description.abstractWe consider the complex ind-group $G=SL (\infty, \mathbb{C})$ and its real forms $G^0=SU(\infty,\infty)$, $SU(p,\infty)$, $SL(\infty,\mathbb{R})$, $SL(\infty,\mathbb{H})$. Our main object of study are the $G^0$-orbits on an ind-variety $G/P$ for an arbitrary splitting parabolic ind-subgroup $P \subset G$, under the assumption that the subgroups $G^0 \subset G$ and $P \subset G$ are aligned in a natural way. We prove that the intersection of any $G^0$-orbit on $G/P$ with a finite-dimensional flag variety $G_n/P_n$ from a given exhaustion of $G/P$ via $G_n/P_n$ for $n \to \infty$, is a single ($G^0 \cap G_n$)-orbit. We also characterize all ind-varieties $G/P$ on which there are finitely many $G^0$-orbits, and provide criteria for the existence of open and close $G^0$-orbits on $G/P$ in the case of infinitely many $G^0$-orbits.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2016,01
dc.subjecthomogeneous ind-varietyen_US
dc.subjectreal group orbiten_US
dc.subjectgeneralized flagen_US
dc.titleReal group orbits on flag ind-varieties of SL (∞, C)en_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2016-01
local.scientificprogramOWLF 2015
local.series.idOWP-2016-01
local.subject.msc14
local.subject.msc22
dc.identifier.urnurn:nbn:de:101:1-201605115556
dc.identifier.ppn1656554712


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