Endomorphism algebras of admissible p-adic representations of p-adic Lie groups

Abstract

Building on recent work of Ardakov and Wadsley, we prove Schur's lemma for absolutely irreducible admissible p-adic Banach space (respectively locally analytic) representations of p-adic Lie groups. We also prove finiteness results for the endomorphism algebra of an irreducible admissible representation.

11 pages

References in corpus (1)

• Locally analytic vectors of unitary principal series of GL_2(Qp)

Cited by in corpus (4)

• Actions infinitésimales dans la correspondance de Langlands locale p-adique
• The p-adic local Langlands correspondence for GL_2(Q_p)
• Extensions de représentations de de Rham et vecteurs localement algébriques
• On locally analytic Beilinson-Bernstein localization and the canonical dimension