Vol. 8, No. 8, 2014

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$\ell$-modular representations of unramified $p$-adic U(2,1)

Robert James Kurinczuk

Vol. 8 (2014), No. 8, 1801–1838
Abstract

We construct all irreducible cuspidal -modular representations of a unitary group in three variables attached to an unramified extension of local fields of odd residual characteristic p with p. We describe the -modular principal series and show that the supercuspidal support of an irreducible -modular representation is unique up to conjugacy.

Keywords
representations of p-adic groups, modular representations
Mathematical Subject Classification 2010
Primary: 22E50
Milestones
Received: 21 October 2013
Revised: 24 June 2014
Accepted: 8 September 2014
Published: 28 November 2014
Authors
Robert James Kurinczuk
Department of Mathematics
Heilbronn Institute for Mathematical Research
University of Bristol
Bristol
BS8 1TW
United Kingdom