Presentations of Iwahori-Hecke algebras of p-adic GL(2)
Date
2024-08-01
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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.
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Keywords
Hecke Algebras, Iwahori-Hecke, p-adic, Characteristic 0, Non-Archimedean
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.