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

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.

Name dc:type.qualificationname

phd

Level dc:type.qualificationlevel

doctoral

Grantor dc:publisher.institution

University of East Anglia

Year dc:date.issued

2012

Author dc:creator

• Kurinczuk, Robert

Language dc:language

en