Iwahori-Hecke model for supersingular representations of GL(2)(Q(p))

In this paper, we realize a regular supersingular representation pi of GL(2)(Q(p)) as a quotient of a representation induced from the Iwahori subgroup of GL(2)(Q(p)). We also show that this realization provides a uniform way of looking at all the self-extensions of pi which have a four dimensional space of I(1)-invariants. (C) 2014 Elsevier Inc. All rights reserved