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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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Official URL: http://www.math.uiuc.edu/documenta/.
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 |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Documenta Mathematica |
| Publisher: | Deutsche Mathematiker Vereinigung |
| ISSN: | 1431-0643 |
| Date: | 2011 |
| Volume: | Vol.16 |
| Page Range: | pp. 1-31 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Open Access |
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) |
| Grant number: | EP/F04304X/2 (EPSRC) |
| URI: | http://wrap.warwick.ac.uk/id/eprint/41790 |
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