Cunningham, Cliftonde Waal, André2024-08-062024-08-062024-08-01de 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.https://hdl.handle.net/1880/119350In 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.enUniversity 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.Hecke AlgebrasIwahori-Heckep-adicCharacteristic 0Non-ArchimedeanEducation--Mathematicsmaster thesis