Affine quantum algebras, Weyl groups and constructible functions
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, an...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | English |
| Published: |
Massachusetts Institute of Technology
2005
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/8405 |
| Summary: | 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. |
|---|