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

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�

Name dc:type.qualificationname

phd

Level dc:type.qualificationlevel

doctoral

Grantor dc:publisher.institution

University of East Anglia

Year dc:date.issued

2014

Author dc:creator

• Xu, Peng

Language dc:language

en