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Affine quantum algebras, Weyl groups and constructible functions

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dc.contributor.advisor George Lusztig. en_US
dc.contributor.author McGerty, Kevin (Kevin Rory), 1975- en_US
dc.contributor.other Massachusetts Institute of Technology. Dept. of Mathematics. en_US
dc.date.accessioned 2005-08-23T19:56:03Z
dc.date.available 2005-08-23T19:56:03Z
dc.date.copyright 2002 en_US
dc.date.issued 2002 en_US
dc.identifier.uri http://hdl.handle.net/1721.1/8405
dc.description Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002. en_US
dc.description Includes bibliographical references (p. 49-51). en_US
dc.description.abstract This 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.statementofresponsibility by Kevin McGerty. en_US
dc.format.extent 51 p. en_US
dc.format.extent 3924339 bytes
dc.format.extent 3924098 bytes
dc.format.mimetype application/pdf
dc.format.mimetype application/pdf
dc.language.iso eng en_US
dc.publisher Massachusetts Institute of Technology en_US
dc.rights M.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.uri http://dspace.mit.edu/handle/1721.1/7582
dc.subject Mathematics. en_US
dc.title Affine quantum algebras, Weyl groups and constructible functions en_US
dc.type Thesis en_US
dc.description.degree Ph.D. en_US
dc.contributor.department Massachusetts Institute of Technology. Dept. of Mathematics. en_US
dc.identifier.oclc 50600699 en_US


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