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Emerton's Jacquet functors for non-Borel parabolic subgroups
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Hill, Richard and Loeffler, David (2011) Emerton's Jacquet functors for non-Borel parabolic subgroups. Documenta Mathematica, Vol.16 . pp. 1-31. ISSN 1431-0643.
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Abstract
This paper studies Emerton's Jacquet module functor for locally analytic representations of p-adic reductive groups, introduced in [Eme06a]. 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 [Eme06b] by constructing eigenvarieties interpolating automorphic representations whose local components at p are not necessarily principal series.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Documenta Mathematica | ||||
Publisher: | Deutsche Mathematiker Vereinigung | ||||
ISSN: | 1431-0643 | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Vol.16 | ||||
Page Range: | pp. 1-31 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Grant number: | EP/F04304X/2 (EPSRC) |
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