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arxiv: 1106.2446 · v2 · pith:NWLJYZJSnew · submitted 2011-06-13 · 🧮 math.RT · math.NT

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

classification 🧮 math.RT math.NT
keywords p-adicadmissibleendomorphismgroupsirreducibleproverepresentationsabsolutely
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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.

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