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dc.contributor.authorBlok, Rieuwert J.
dc.contributor.authorHoffman, Corneliu
dc.date.accessioned2010-03-20T12:00:50Z
dc.date.accessioned2016-10-05T14:14:14Z
dc.date.available2010-03-20T12:00:50Z
dc.date.available2016-10-05T14:14:14Z
dc.date.issued2010-03-10
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1165
dc.descriptionResearch in Pairs 2009en_US
dc.description.abstractIn [7] we define a Curtis-Tits group as a certain generalization of a Kac-Moody group. We distinguish between orientable and non-orientable Curtis-Tits groups and identify all orientable Curtis-Tits groups as Kac-Moody groups associated to twinbuildings. We mention that non-orientable Curtis-Tits groups exist. In the present paper we construct families of orientable and non-orientable Curtis-Tits groups. The resulting groups are quite interesting in their own right. The orientable ones are related to Drinfel’d’ s construction of vector bundles over a non-commutative projective line and to the classical groups over cyclic algebras. The non-orientable ones are related to q-CCR algebras in physics and have symplectic, orthogonal and unitary groups as quotients.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2010,06
dc.subjectCurtis-Tits groupsen_US
dc.subjecttwin-buildingen_US
dc.subjectamalgamen_US
dc.subjectoppositeen_US
dc.subjectq-CCR algebrasen_US
dc.subjectMoufang foundationsen_US
dc.titleOn Generalizations of Kac-Moody Groupsen_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-2010-06
local.scientificprogramResearch in Pairs 2009
local.series.idOWP-2010-06
local.subject.msc20
local.subject.msc51
dc.identifier.urnurn:nbn:de:101:1-20100601371
dc.identifier.ppn1649519583


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