Affine quantum algebras, Weyl groups and constructible functions
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2005
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| Online Access: | http://hdl.handle.net/1721.1/8405 |
| _version_ | 1826189226981457920 |
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| author | McGerty, Kevin (Kevin Rory), 1975- |
| author2 | George Lusztig. |
| author_facet | George Lusztig. McGerty, Kevin (Kevin Rory), 1975- |
| author_sort | McGerty, Kevin (Kevin Rory), 1975- |
| collection | MIT |
| description | Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002. |
| first_indexed | 2024-09-23T08:11:31Z |
| format | Thesis |
| id | mit-1721.1/8405 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T08:11:31Z |
| publishDate | 2005 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/84052019-04-09T17:13:32Z Affine quantum algebras, Weyl groups and constructible functions McGerty, Kevin (Kevin Rory), 1975- George Lusztig. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002. Includes bibliographical references (p. 49-51). 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. by Kevin McGerty. Ph.D. 2005-08-23T19:56:03Z 2005-08-23T19:56:03Z 2002 2002 Thesis http://hdl.handle.net/1721.1/8405 50600699 eng 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. http://dspace.mit.edu/handle/1721.1/7582 51 p. 3924339 bytes 3924098 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. McGerty, Kevin (Kevin Rory), 1975- Affine quantum algebras, Weyl groups and constructible functions |
| title | Affine quantum algebras, Weyl groups and constructible functions |
| title_full | Affine quantum algebras, Weyl groups and constructible functions |
| title_fullStr | Affine quantum algebras, Weyl groups and constructible functions |
| title_full_unstemmed | Affine quantum algebras, Weyl groups and constructible functions |
| title_short | Affine quantum algebras, Weyl groups and constructible functions |
| title_sort | affine quantum algebras weyl groups and constructible functions |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/8405 |
| work_keys_str_mv | AT mcgertykevinkevinrory1975 affinequantumalgebrasweylgroupsandconstructiblefunctions |