Vol. 307, No. 2, 2020

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
The Journal
Editorial Board
Special Issues
Submission Guidelines
Submission Form
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
Other MSP Journals
This article is available for purchase or by subscription. See below.
Globally analytic principal series representation and Langlands base change

Jishnu Ray

Vol. 307 (2020), No. 2, 455–490

S. Orlik and M. Strauch have studied locally analytic principal series representation for general p-adic reductive groups generalizing an earlier work of P. Schneider for GL(2) and related the condition of irreducibility of such locally analytic representation with that of a suitable Verma module. We take the case of GL(n) and study the globally analytic principal series representation under the action of the pro-p Iwahori subgroup of GL(n, p), following the notion of globally analytic representations introduced by M. Emerton. Furthermore, we relate the condition of irreducibility of our globally analytic principal series to that of a Verma module. Finally, using the Steinberg tensor product theorem, we construct the Langlands base change of our globally analytic principal series to a finite unramified extension of p.

PDF Access Denied

However, your active subscription may be available on Project Euclid at

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

rigid analytic representations, Tate algebra, affinoids, rigid analytic geometry, $p$-adic Langlands, $p$-adic representations, $p$-adic Lie groups
Mathematical Subject Classification 2010
Primary: 20G25, 22E50
Secondary: 20G05
Received: 22 September 2018
Revised: 27 February 2020
Accepted: 5 March 2020
Published: 4 September 2020
Jishnu Ray
Department of Mathematics
The University of British Columbia
Vancouver BC