Kirillov models and the Breuil-Schneider conjecture for GL2(F)
Abstract
Let F be a local field of characteristic 0. The Breuil-Schneider conjecture for GL2(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.
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