Affine quantum algebras, Weyl groups and constructible functions
Name
50600699-MIT.pdf
Description
Full printable version
Size
3.74 MB
Format
Adobe PDF
Checksum (MD5)
2960086bfb5fbbaa23054378c1470e03
Author(s)
McGerty, Kevin (Kevin Rory), 1975-
Advisor(s)
George Lusztig.
Date Issued
2002
Publisher
Massachusetts Institute of Technology
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.
Description
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002.
Includes bibliographical references (p. 49-51).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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.
Persistent DSpace Link
