Affine quantum algebras, Weyl groups and constructible functions
Author(s)
McGerty, Kevin (Kevin Rory), 1975-![Thumbnail](/bitstream/handle/1721.1/8405/50600699-MIT.pdf.jpg?sequence=5&isAllowed=y)
DownloadFull printable version (3.742Mb)
Other Contributors
Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor
George Lusztig.
Terms of use
Metadata
Show full item recordAbstract
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).
Date issued
2002Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
Massachusetts Institute of Technology
Keywords
Mathematics.