Counting supercuspidal representations of p-adic groups

Almutairi, Bander Nasser (2012) Counting supercuspidal representations of p-adic groups. Doctoral thesis, University of East Anglia.

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Abstract

Let F be a non-archimedean local �eld with residual characteristic p ~= 2. In this thesis we will deduce a formula for the number of irreducible supercuspidal
representations of GLN(F), N C 1, with !�($F ) = 1 and level less than or equal to k. Following Blasco, we construct all irreducible supercuspidal representations of the unitary groups U(1; 1)(F~F0) and U(2; 1)(F~F0) by looking at their characteristic polynomials and then compute the number of all these representations according to their level.

Item Type: Thesis (Doctoral)
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Brian Watkins
Date Deposited: 07 Mar 2014 09:17
Last Modified: 07 Mar 2014 09:17
URI: https://ueaeprints.uea.ac.uk/id/eprint/48008
DOI:

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