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Unitary spherical spectrum for p-adic classical groups

dc.contributor.authorBarbasch, Danen_US
dc.contributor.authorMoy, Allenen_US
dc.date.accessioned2006-09-08T19:29:56Z
dc.date.available2006-09-08T19:29:56Z
dc.date.issued1996-08en_US
dc.identifier.citationBarbasch, Dan; Moy, Allen; (1996). "Unitary spherical spectrum for p-adic classical groups." Acta Applicandae Mathematicae 44 (1-2): 3-37. <http://hdl.handle.net/2027.42/41659>en_US
dc.identifier.issn0167-8019en_US
dc.identifier.issn1572-9036en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/41659
dc.description.abstractLet G be a split reductive p-adic group. Then the determination of the unitary representations with nontrivial Iwahori fixed vectors can be reduced to the determination of the unitary dual of the corresponding Iwahori-Hecke algebra. In this paper we study the unitary dual of the Iwahori-Hecke algebras corresponding to the classical groups. We determine all the unitary spherical representations.en_US
dc.format.extent1657806 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers; Springer Science+Business Mediaen_US
dc.subject.otherMathematicsen_US
dc.subject.otherComputer Science, Generalen_US
dc.subject.otherMathematics, Generalen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherStatistical Physicsen_US
dc.subject.otherMechanicsen_US
dc.subject.other22E50en_US
dc.subject.other16-XXen_US
dc.subject.other20-XXen_US
dc.subject.otherUnitary Dualen_US
dc.subject.otherP-adic Groupsen_US
dc.subject.otherIwahori-Hecke Algebraen_US
dc.titleUnitary spherical spectrum for p-adic classical groupsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, 48221, Ann Arbor, MI, U.S.A.en_US
dc.contributor.affiliationotherDepartment of Mathematics, Cornell University, 14853, Ithaca, NY, U.S.A.en_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/41659/1/10440_2004_Article_BF00116514.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF00116514en_US
dc.identifier.sourceActa Applicandae Mathematicaeen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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