Summary: 



ON IRREDUCIBLE REPRESENTATIONS OF COMPACT p-ADIC

ANALYTIC GROUPS



KONSTANTIN ARDAKOV AND SIMON WADSLEY


Abstract.We prove that the canonical dimension of a coadmissible repre-
sentation of a semisimple p-adic Lie group in a p-adic Banach space is e*
*ither
zero or at least half the dimension of a non-zero coadjoint orbit. To do*
* this we
establish analogues for p-adically completed enveloping algebras of Bern*
*stein's

Source: Ardakov, Konstantin - School of Mathematical Sciences, University of Nottingham

Collections: Mathematics