| Publication Type |
dissertation |
| School or College |
College of Science |
| Department |
Mathematics |
| Author |
Housley, Matthew |
| Title |
Polynomial representations and associated cycles for indefinite unitary groups |
| Date |
2011-08 |
| Description |
The associated variety is a geometric invariant attached to each Harish-Chandra module of a real reductive Lie group. The associated cycle is a ner invariant that gives additional algebraic data for each component of the associated variety. The main result of this thesis is a set of formulas for associated cycles of a large class of Harish-Chandra modules for the real Lie group U(p; q). These formulas give the associated cycle polynomials for the coherent family containing a module X when elements of the dense orbit in the associated variety of X have a single nontrivial Jordan block or exactly two Jordan blocks. |
| Type |
Text |
| Publisher |
University of Utah |
| Subject |
Associated cycle; Unitary groups; Polynomial representations |
| Dissertation Institution |
University of Utah |
| Dissertation Name |
Doctor of Philosophy |
| Language |
eng |
| Rights Management |
Copyright © Matthew Housley 2011 |
| Format Medium |
application/pdf |
| Format Extent |
479,594 bytes |
| Identifier |
us-etd3,43776 |
| Source |
Original housed in Marriott Library Special Collections, QA3.5 2011 .H68 |
| ARK |
ark:/87278/s6w09mnz |
| Setname |
ir_etd |
| ID |
194478 |
| Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6w09mnz |
