Generalized Jacquet Modules of Parabolically Induced Representations

In this paper we study a generalization of the Jacquet module of a parabolically induced representation and construct a fi ltration on it. The successive quotients of the fi ltration are written by using the twisting functor.

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Bibliographische Detailangaben
Veröffentlicht in:	Publications of the Research Institute for Mathematical Sciences 2012-06, Vol.48 (2), p.419-473, Article 419
1. Verfasser:	Abe, Noriyuki
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Group representations (Mathematics) Number theory Topological groups, Lie groups
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper we study a generalization of the Jacquet module of a parabolically induced representation and construct a fi ltration on it. The successive quotients of the fi ltration are written by using the twisting functor.
ISSN:	0034-5318 1663-4926
DOI:	10.2977/PRIMS/75