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On unitary deformations of smooth modular representations

Representation Theory 2012-10-16 v2 Number Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0912.4043,
  title  = {On unitary deformations of smooth modular representations},
  author = {Tobias Schmidt},
  journal= {arXiv preprint arXiv:0912.4043},
  year   = {2012}
}

Comments

22 pages

R2 v1 2026-06-21T14:26:25.517Z