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arXiv · 1005.4437

Emerton's Jacquet functors for non-Borel parabolic subgroups

Richard Hill·David Loeffler
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Abstract

This paper studies Emerton's Jacquet module functor for locally analytic representations of p-adic reductive groups. When P is a parabolic subgroup whose Levi factor M is not commutative, we show that passing to an isotypical subspace for the derived subgroup of M gives rise to essentially admissible locally analytic representations of the torus Z(M), which have a natural interpretation in terms of rigid geometry. We use this to extend Emerton's representation-theoretic construction of eigenvarieties by constructing eigenvarieties interpolating automorphic representations whose local components at p are not necessarily principal series.

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BibTeXRIS

Richard Hill, David Loeffler. 2010-05-24. Emerton's Jacquet functors for non-Borel parabolic subgroups. https://arxiv.org/abs/1005.4437

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