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- W2009610014 abstract "Abstract Let G be a reductive group defined over a p -adic local field L , let P be a parabolic subgroup of G with Levi quotient M , and write G : = G ( L ) , P : = P ( L ) , and M : = M ( L ) . In this paper we construct a functor J P from the category of essentially admissible locally analytic G -representations to the category of essentially admissible locally analytic M -representations, which we call the Jacquet module functor attached to P , and which coincides with the usual Jacquet module functor of [Casselman W., Introduction to the theory of admissible representations of p -adic reductive groups, unpublished notes distributed by P. Sally, draft dated May 7, 1993. Available electronically at http://www.math.ubc.ca/people/faculty/cass/research.html . [5] ] on the subcategory of admissible smooth G -representations. We establish several important properties of this functor." @default.
- W2009610014 created "2016-06-24" @default.
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- W2009610014 date "2006-09-01" @default.
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- W2009610014 title "Jacquet modules of locally analytic representations of p-adic reductive groups I. Construction and first properties" @default.
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- W2009610014 doi "https://doi.org/10.1016/j.ansens.2006.08.001" @default.
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