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On Jacquet Modules of Induced Representations of p—Adic Symplectic Groups

Chapter
Part of the Progress in Mathematics book series (PM, volume 101)

Abstract

We fix a reductive p-adic group G. One very useful tool in the representation theory of reductive p-adic groups is the Jacquet module. Let us recall the definition of the Jacquet module. Let (π, V) be a smooth representation of G and let P be a parabolic subgroup of G with a Levi decomposition P = MN. The Jacquet module of V with respect to N is \( {V_N} = V/spa{n_{\mathbb{C}}}\left\{ {\pi (n)v - v;n \in N,v \in V} \right\} \).

Keywords

Hopf Algebra Parabolic Subgroup Grothendieck Group Cuspidal Representation Maximal Parabolic Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ZagrebZagrebYugoslavia

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