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dc.contributor.advisorGeorge Lusztig.en_US
dc.contributor.authorMcGerty, Kevin (Kevin Rory), 1975-en_US
dc.contributor.otherMassachusetts Institute of Technology. Dept. of Mathematics.en_US
dc.date.accessioned2005-08-23T19:56:03Z
dc.date.available2005-08-23T19:56:03Z
dc.date.copyright2002en_US
dc.date.issued2002en_US
dc.identifier.urihttp://hdl.handle.net/1721.1/8405
dc.descriptionThesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002.en_US
dc.descriptionIncludes bibliographical references (p. 49-51).en_US
dc.description.abstractThis thesis consists of two parts. In the first part we study the affine quantum group of type A, giving a geometric description of its natural inner product, and studying the theory of cells attached to the canonical basis. In the second part we study a realization of the group algebra of the Weyl group in a convolution algebra of constructible functions on the Steinberg variety, and examine how this may be used to see Springer representations.en_US
dc.description.statementofresponsibilityby Kevin McGerty.en_US
dc.format.extent51 p.en_US
dc.format.extent3924339 bytes
dc.format.extent3924098 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/pdf
dc.language.isoengen_US
dc.publisherMassachusetts Institute of Technologyen_US
dc.rightsM.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.en_US
dc.rights.urihttp://dspace.mit.edu/handle/1721.1/7582
dc.subjectMathematics.en_US
dc.titleAffine quantum algebras, Weyl groups and constructible functionsen_US
dc.typeThesisen_US
dc.description.degreePh.D.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Dept. of Mathematics.en_US
dc.identifier.oclc50600699en_US


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