2026-09-26T19:12:14Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/84052022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
George Lusztig.
McGerty, Kevin (Kevin Rory), 1975-
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2005-08-23T19:56:03Z
2005-08-23T19:56:03Z
2002
2002
http://hdl.handle.net/1721.1/8405
50600699
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.
51 p.
3924339 bytes
3924098 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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
Mathematics.
Affine quantum algebras, Weyl groups and constructible functions
Thesis
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