Generalized Jacquet modules of parabolic induction

Abstract

In this paper we study a generalization of the Jacquet module of a parabolic induction and construct a filtration on it. The successive quotient of the filtration is written by using the twisting functor.

51 pages

References in corpus (1)

• Jacquet modules of principal series generated by the trivial $K$-type

Cited by in corpus (2)

• Annihilator varieties, highest derivatives, Whittaker functionals, and rank for unitary representations of GL(n,R)
• Generalized Whittaker functions for degenerate principal series of $GL(4,\mathbb{R})$