Degenerate Principal Series For Symplectic And Odd Orthogonal Groups
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Degenerate Principal Series for Symplectic and Odd-orthogonal Groups
Content Description #"November 1996, volume 124, number 590 (first of 5 numbers)."#Includes bibliographical references.
Degenerate Principal Series for Symplectic and Odd-Orthogonal Groups
Author: Chris Jantzen
language: en
Publisher: American Mathematical Soc.
Release Date: 1996-01-01
This memoir studies reducibility in a certain class of induced representations for and , where is -adic. In particular, it is concerned with representations obtained by inducing a one-dimensional representation from a maximal parabolic subgroup (i.e., degenerate principal series representations). Using the Jacquet module techniques of Tadić, the reducibility points for such representations are determined. When reducible, the composition series is described, giving Langlands data and Jacquet modules for the irreducible composition factors.
Geometry and Analysis of Automorphic Forms of Several Variables
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