The integral structure of Hecke algebras for finite generalized polygons
| dc.contributor.author | Hacioglu, Ilhan, author | |
| dc.contributor.author | Liebler, Robert A., advisor | |
| dc.date.accessioned | 2026-02-23T19:19:16Z | |
| dc.date.issued | 2005 | |
| dc.description.abstract | Suppose (P, B, F) are the points, blocks and flags of generalized m-gon and H(F) the associated rank 2 Iwahori-Hecke algebra. H(F) acts naturally on the integral standard module ZF based on F. This work gives arithmetic conditions on subring R, where R contains the integers and is contained in the rationals, that insure the associated R-ary Iwahori-Hecke algebra is completely reducible on RF. The constituent multiplicities are related to the R-normal form of the incidence matrix of (P, B, F). | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier.uri | https://hdl.handle.net/10217/243429 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2000-2019 | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.rights.license | Per the terms of a contractual agreement, all use of this item is limited to the non-commercial use of Colorado State University and its authorized users. | |
| dc.subject | mathematics | |
| dc.title | The integral structure of Hecke algebras for finite generalized polygons | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Doctor of Philosophy (Ph.D.) |
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