dc.contributor.author Ignatyev, Mikhail V. dc.contributor.author Penkov, Ivan dc.contributor.author Wolf, Joseph A. dc.date.accessioned 2016-09-22T10:46:37Z dc.date.available 2016-09-22T10:46:37Z dc.date.issued 2016-05-10 dc.identifier.uri http://publications.mfo.de/handle/mfo/194 dc.description OWLF 2015 en_US dc.description.abstract We 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.iso en en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2016,01 dc.subject homogeneous ind-variety en_US dc.subject real group orbit en_US dc.subject generalized flag en_US dc.title Real group orbits on flag ind-varieties of SL (∞, C) en_US dc.type Preprint en_US dc.rights.license Dieses 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.license This 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.doi 10.14760/OWP-2016-01 local.scientificprogram OWLF 2015 local.series.id OWP-2016-01 local.subject.msc 14 local.subject.msc 22 dc.identifier.urn urn:nbn:de:101:1-201605115556 dc.identifier.ppn 1656554712
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