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Article: Mixed Product Poisson Structures Associated to Poisson Lie Groups and Lie Bialgebras

TitleMixed Product Poisson Structures Associated to Poisson Lie Groups and Lie Bialgebras
Authors
Issue Date2016
PublisherOxford Journals.
Citation
International Mathematics Research Notices, 2016 How to Cite?
AbstractWe introduce and study some mixed product Poisson structures on product manifolds associated to Poisson Lie groups and Lie bialgebras. For quasitriangular Lie bialgebras, our construction is equivalent to that of fusion products of quasi-Poisson GG-manifolds introduced by Alekseev, Kosmann-Schwarzbach, and Meinrenken. Our primary examples include four series of holomorphic Poisson structures on products of flag varieties and related spaces of complex semi-simple Lie groups.
Persistent Identifierhttp://hdl.handle.net/10722/234645

 

DC FieldValueLanguage
dc.contributor.authorLu, J-
dc.contributor.authorMouquin, V-
dc.date.accessioned2016-10-14T13:48:14Z-
dc.date.available2016-10-14T13:48:14Z-
dc.date.issued2016-
dc.identifier.citationInternational Mathematics Research Notices, 2016-
dc.identifier.urihttp://hdl.handle.net/10722/234645-
dc.description.abstractWe introduce and study some mixed product Poisson structures on product manifolds associated to Poisson Lie groups and Lie bialgebras. For quasitriangular Lie bialgebras, our construction is equivalent to that of fusion products of quasi-Poisson GG-manifolds introduced by Alekseev, Kosmann-Schwarzbach, and Meinrenken. Our primary examples include four series of holomorphic Poisson structures on products of flag varieties and related spaces of complex semi-simple Lie groups.-
dc.languageeng-
dc.publisherOxford Journals. -
dc.relation.ispartofInternational Mathematics Research Notices-
dc.titleMixed Product Poisson Structures Associated to Poisson Lie Groups and Lie Bialgebras-
dc.typeArticle-
dc.identifier.emailLu, J: jhluhku@hku.hk-
dc.identifier.authorityLu, J=rp00753-
dc.identifier.doi10.1093/imrn/rnw189-
dc.identifier.hkuros269797-

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