| 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. Department of Mathematics | |
| dc.identifier.oclc | 50600699 | en_US |
