On the mod-p representations of unramified U(2,1)

Xu, Peng (2014) On the mod-p representations of unramified U(2,1). Doctoral thesis, University of East Anglia.

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Abstract

Let E=F be an unrami�ed quadratic extension of non-archimedean
local �elds of odd residue characteristic p and let G be the unitary
group in three variable U(2; 1)(E=F). In this thesis, we explore the
smooth representation theory of G over a �eld ~E of characteristic p.
The main results are as follows. Firstly, we have classi�ed the simple
modules of the pro-p Iwahori-Hecke algebra of G and described the
so-called supersingular ones, which is one-dimensional character. Secondly,
for the hyperspecial maximal compact open subgroup K0 of G
and any irreducible smooth representation � of K0, and for any nonzero
� 2 ~E , we have determined the subquotients of indG
K0�=(T�

Item Type: Thesis (Doctoral)
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Mia Reeves
Date Deposited: 11 Jun 2014 11:57
Last Modified: 11 Jun 2014 11:57
URI: https://ueaeprints.uea.ac.uk/id/eprint/48696
DOI:

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