Smooth representations and Hecke modules in characteristic<i>p</i>

Peter Schneider

Type: Article

Publication Date: 2015-12-21

Citations: 32

DOI: https://doi.org/10.2140/pjm.2015.279.447

Abstract

Let G be a p-adic Lie group and I ⊆ G be a compact open subgroup which is a torsionfree prop-group.Working over a coefficient field k of characteristic p we introduce a differential graded Hecke algebra for the pair (G, I) and show that the derived category of smooth representations of G in k-vector spaces is naturally equivalent to the derived category of differential graded modules over this Hecke DGA.

Locations

Pacific Journal of Mathematics - View - PDF

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+	Pseudocompact algebras, profinite groups and class formations	1966	Armand Brumer
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