Vol. 310, No. 1, 2021

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 313: 1  2
Vol. 312: 1  2
Vol. 311: 1  2
Vol. 310: 1  2
Vol. 309: 1  2
Vol. 308: 1  2
Vol. 307: 1  2
Vol. 306: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
The degenerate principal series representations of exceptional groups of type $E_7$ over $p$-adic fields

Hezi Halawi and Avner Segal

Vol. 310 (2021), No. 1, 115–157
Abstract

In this paper, we study the degenerate principal series of a split, simply connected, simple p-adic group of type E7. We determine the points of reducibility and the maximal semisimple subrepresentation at each point.

Keywords
representation theory, $p$-adic groups, degenerate principal series
Mathematical Subject Classification
Primary: 20G05, 20G41, 22E50
Milestones
Received: 18 December 2019
Revised: 25 June 2020
Accepted: 25 July 2020
Published: 26 January 2021
Authors
Hezi Halawi
School of Mathematics
Ben Gurion University of the Negev
Be’er Sheva
Israel
Avner Segal
School of Mathematical Sciences
Tel Aviv University
Tel Aviv
Israel
Mathematics Department
Shamoon College of Engineering
Beer-Sheva Israel