Smooth ℓ-modular representations of unramified p -adic U(2, 1)(E/F)

Kurinczuk, Robert (2012) Smooth ℓ-modular representations of unramified p -adic U(2, 1)(E/F). Doctoral thesis, University of East Anglia .

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Abstract

Let E/F be an unramified quadratic extension of p-adic fields and G be the
unitary group U(2, 1)(E/F). In this thesis we construct all ℓ-modular irreducible cuspidal
representations of G by compact induction from irreducible representations of compact open
subgroups of G. Under an assumption on the possible cuspidal subquotients of representations
parabolically induced from an irreducible positive level representation, we show that
the supercuspidal support of an irreducible `-modular representation of G is unique up to
conjugacy.

Item Type:	Thesis (Doctoral)
Faculty \ School:	Faculty of Science > School of Mathematics
Depositing User:	Zoe White
Date Deposited:	07 Feb 2014 10:30
Last Modified:	07 Feb 2014 10:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/41947
DOI:

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