Extensions of graded affine Hecke algebra modules
| Publication Type | dissertation |
| School or College | College of Science |
| Department | Mathematics |
| Author | Chan, Kei Yuen |
| Title | Extensions of graded affine Hecke algebra modules |
| Date | 2014-12 |
| Description | In this dissertation, we study extensions of graded ane Hecke algebra modules. In particular, based on an explicit projective resolution on graded ane Hecke algebra modules, we prove a duality result for Ext-groups. This duality result with analysis on some parabolically induced modules gives a new proof of the fact that all higher Ext-groups between discrete series vanish. Finally, we study a twisted Euler-Poincare pairing and show the pairing depends on the Weyl group structure of graded ane Hecke algebra modules. |
| Type | Text |
| Publisher | University of Utah |
| Subject | Extension of modules; Hecke algebras; Homological algebra; p-adic groups |
| Dissertation Institution | University of Utah |
| Dissertation Name | Doctor of Philosophy |
| Language | eng |
| Rights Management | Copyright © Kei Yuen Chan 2014 |
| Format Medium | application/pdf |
| Format Extent | 583,251 bytes |
| Identifier | etd3/id/3318 |
| ARK | ark:/87278/s6157r9b |
| Setname | ir_etd |
| ID | 196883 |
| Reference URL | https://collections.lib.utah.edu/ark:/87278/s6157r9b |