Degenerate principal series for exceptional p -adic groups.
dc.contributor.author | Choi, Seung-Il | |
dc.contributor.advisor | Moy, Allen | |
dc.date.accessioned | 2016-08-30T17:49:02Z | |
dc.date.available | 2016-08-30T17:49:02Z | |
dc.date.issued | 2002 | |
dc.identifier.uri | http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3057925 | |
dc.identifier.uri | https://hdl.handle.net/2027.42/131599 | |
dc.description.abstract | This is a report on normalized inductions from characters of maximal parabolic subgroups of exceptional p-adic groups. Matrix realization can be used to get the results for a group of type <italic>G</italic><sub>2</sub> (7 by 7 matrices) and a group of type <italic>F</italic><sub>4</sub> (26 by 26 matrices). However, using the description of the maximal split torus in terms of coroots, we can do the same computation without a matrix realization. The two main methods in my work are Jacquet module techniques and Hecke algebra isomorphisms. The Jacquet module technique leads to a reducibility criterion, which is applied to the regular cases. For the nonregular cases, the Hecke algebra isomorphism provides a way of reducing reducibility questions to the classical groups. | |
dc.format.extent | 54 p. | |
dc.language | English | |
dc.language.iso | EN | |
dc.subject | Degenerate Principal Series | |
dc.subject | Exceptional | |
dc.subject | Hecke Algebra Isomorphisms | |
dc.subject | Jacquet Module | |
dc.subject | P-adic Groups | |
dc.subject | Parabolic Induction | |
dc.title | Degenerate principal series for exceptional p -adic groups. | |
dc.type | Thesis | |
dc.description.thesisdegreename | PhD | en_US |
dc.description.thesisdegreediscipline | Mathematics | |
dc.description.thesisdegreediscipline | Pure Sciences | |
dc.description.thesisdegreegrantor | University of Michigan, Horace H. Rackham School of Graduate Studies | |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/131599/2/3057925.pdf | |
dc.owningcollname | Dissertations and Theses (Ph.D. and Master's) |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.