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dc.contributor.authorGekhtman, Michael
dc.contributor.authorShapiro, Michael
dc.contributor.authorVainshtein, Alek
dc.date.accessioned2011-03-20T12:01:07Z
dc.date.accessioned2016-10-05T14:14:18Z
dc.date.available2011-03-20T12:01:07Z
dc.date.available2016-10-05T14:14:18Z
dc.date.issued2011-05-12
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1183
dc.descriptionResearch in Pairs 2010en_US
dc.description.abstractWe study natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson-Lie structutures compatible with these cluster structures. According to our main conjecture, each class in the Belavin-Drinfeld classification of Poisson-Lie structures on $\mathcal{G}$ corresponds to a cluster structure in $\mathcal{O}(\mathcal{G})$. We prove reduction theorem explaining how different parts of the conjecture are related to each other. The conjecture is established for $SL_n, n<5$, and for any $\mathcal{G}$ in the case of the standard Poisson-Lie structure.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2011,10
dc.subjectPoisson-Lie groupen_US
dc.subjectcluster algebraen_US
dc.subjectBelavin-Drinfeld tripleen_US
dc.titleCluster structures on simple complex lie groups and the Belavin-Drinfeld classificationen_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-2011-10
local.scientificprogramResearch in Pairs 2010
local.series.idOWP-2011-10
local.subject.msc53
local.subject.msc13
dc.identifier.urnurn:nbn:de:101:1-201104069892
dc.identifier.ppn1650844670


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