English

Kirillov models and the Breuil-Schneider conjecture for GL_2(F)

Representation Theory 2013-02-14 v1 Number Theory

Abstract

Let F be a local field of characteristic 0. The Breuil-Schneider conjecture for GL_2(F) predicts which locally algebraic representations of this group admit an integral structure. We extend the methods of [K-dS12], which treated smooth representations only, to prove the conjecture for some locally algebraic representations as well.

Keywords

Cite

@article{arxiv.1302.3060,
  title  = {Kirillov models and the Breuil-Schneider conjecture for GL_2(F)},
  author = {Eran Assaf and David Kazhdan and Ehud de Shalit},
  journal= {arXiv preprint arXiv:1302.3060},
  year   = {2013}
}