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arxiv: 0912.4043 · v2 · pith:CQQVIVH6new · submitted 2009-12-20 · 🧮 math.RT · math.NT

On unitary deformations of smooth modular representations

classification 🧮 math.RT math.NT
keywords modularrepresentationsmoothunitaryabsolutelyanalyticappearsaugmented
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Let G be a locally analytic group. We use deformation theory and Emerton's 'augmented' Iwasawa modules to study the possible liftings of a given absolutely irreducible smooth modular representation of G to a unitary Banach space representation. Final version. Some minor items changed. Appears in Israel J. Math.

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