Emerton's Jacquet functors for non-Borel parabolic subgroups
Documenta mathematica, Tome 16 (2011), pp. 1-31
This paper studies Emerton's Jacquet module functor for locally analytic representations of p-adic reductive groups, introduced in citeemerton-jacquet. 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 the construction in of eigenvarieties in citeemerton-interpolation by constructing eigenvarieties interpolating automorphic representations whose local components at p are not necessarily principal series.
Classification :
11F70, 11F75, 22E50
Mots-clés : eigenvarieties, p-adic automorphic forms, completed cohomology
Mots-clés : eigenvarieties, p-adic automorphic forms, completed cohomology
@article{10_4171_dm_325,
author = {David Loeffler and Richard Hill},
title = {Emerton's {Jacquet} functors for {non-Borel} parabolic subgroups},
journal = {Documenta mathematica},
pages = {1--31},
year = {2011},
volume = {16},
doi = {10.4171/dm/325},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/325/}
}
David Loeffler; Richard Hill. Emerton's Jacquet functors for non-Borel parabolic subgroups. Documenta mathematica, Tome 16 (2011), pp. 1-31. doi: 10.4171/dm/325
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