On unitary deformations of smooth modular representations

Details On unitary deformations of smooth modular representations On unitary deformations of smooth modular representations

2009-12-20

arxiv.org/abs/0912.4043v1

Mathematics

Representation Theory

21 pages

Scientific paper

Let G be a locally Q_p-analytic group and K a finite extension of Q_p with
residue field k. Generalizing results of B. Mazur we use deformation theory to
study the possible liftings of a given smooth G-representation over k to
unitary G-Banach space representations over K. We compute some explicit
deformations in the case G=GL_2(Q_p).

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