dc.contributor.author | Blok, Rieuwert J. | |
dc.contributor.author | Hoffman, Corneliu | |
dc.date.accessioned | 2010-03-20T12:00:50Z | |
dc.date.accessioned | 2016-10-05T14:14:14Z | |
dc.date.available | 2010-03-20T12:00:50Z | |
dc.date.available | 2016-10-05T14:14:14Z | |
dc.date.issued | 2010-03-10 | |
dc.identifier.uri | http://publications.mfo.de/handle/mfo/1165 | |
dc.description | Research in Pairs 2009 | en_US |
dc.description.abstract | In [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.iso | en | en_US |
dc.publisher | Mathematisches Forschungsinstitut Oberwolfach | en_US |
dc.relation.ispartofseries | Oberwolfach Preprints;2010,06 | |
dc.subject | Curtis-Tits groups | en_US |
dc.subject | twin-building | en_US |
dc.subject | amalgam | en_US |
dc.subject | opposite | en_US |
dc.subject | q-CCR algebras | en_US |
dc.subject | Moufang foundations | en_US |
dc.title | On Generalizations of Kac-Moody Groups | 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-2010-06 | |
local.scientificprogram | Research in Pairs 2009 | |
local.series.id | OWP-2010-06 | |
local.subject.msc | 20 | |
local.subject.msc | 51 | |
dc.identifier.urn | urn:nbn:de:101:1-20100601371 | |
dc.identifier.ppn | 1649519583 | |