Presentations of Iwahori-Hecke algebras of p-adic GL(2)

de Waal, André

Presentations of Iwahori-Hecke algebras of p-adic GL(2)

dc.contributor.advisor	Cunningham, Clifton
dc.contributor.author	de Waal, André
dc.contributor.committeemember	Bauer, Mark
dc.contributor.committeemember	Cunningham, Clifton
dc.contributor.committeemember	Scandolo, Carlo Maria
dc.date	2024-11
dc.date.accessioned	2024-08-06T18:09:00Z
dc.date.available	2024-08-06T18:09:00Z
dc.date.issued	2024-08-01
dc.description.abstract	In this thesis we define the Iwahori-Hecke algebra for the algebraic group GL2 over a p-adic field. Besides the definition there are two common presentations used to describe the Iwahori-Hecke algebras in terms of generators and relations. We introduce two more presentations to provide some insight into the structure of the algebra, as well as proving that each of these presentations is isomorphic to the others, mostly through explicit isomorphisms.
dc.identifier.citation	de Waal, A. (2024). Presentations of Iwahori-Hecke algebras of p-adic GL(2) (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.
dc.identifier.uri	https://hdl.handle.net/1880/119350
dc.language.iso	en
dc.publisher.faculty	Graduate Studies
dc.publisher.institution	University of Calgary
dc.rights	University of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.subject	Hecke Algebras
dc.subject	Iwahori-Hecke
dc.subject	p-adic
dc.subject	Characteristic 0
dc.subject	Non-Archimedean
dc.subject.classification	Education--Mathematics
dc.title	Presentations of Iwahori-Hecke algebras of p-adic GL(2)
dc.type	master thesis
thesis.degree.discipline	Mathematics & Statistics
thesis.degree.grantor	University of Calgary
thesis.degree.name	Master of Science (MSc)
ucalgary.thesis.accesssetbystudent	I do not require a thesis withhold – my thesis will have open access and can be viewed and downloaded publicly as soon as possible.