Vol. 9, No. 5, 2016

Download this article
Download this article For screen
For printing
Recent Issues

Volume 16
Issue 4, 547–726
Issue 3, 365–546
Issue 2, 183–364
Issue 1, 1–182

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 8 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Author Index
Coming Soon
 
Other MSP Journals
Lifting representations of finite reductive groups: a character relation

Jeffrey D. Adler, Michael Cassel, Joshua M. Lansky, Emma Morgan and Yifei Zhao

Vol. 9 (2016), No. 5, 805–812
Abstract

Given a connected reductive group G˜ over a finite field k, and a semisimple k-automorphism ε of G˜ of finite order, let G denote the connected part of the group of ε-fixed points. Two of the authors have previously shown that there exists a natural lifting from series of representations of G(k) to series for G˜(k). In the case of Deligne–Lusztig representations, we show that this lifting satisfies a character relation analogous to that of Shintani.

Keywords
finite reductive groups, Deligne–Lusztig representations, liftings, character relations
Mathematical Subject Classification 2010
Primary: 20C33
Secondary: 20G40
Milestones
Received: 27 May 2015
Revised: 1 November 2015
Accepted: 3 November 2015
Published: 25 August 2016

Communicated by Ken Ono
Authors
Jeffrey D. Adler
Department of Mathematics and Statistics
American University
Washington, DC 20016
%-8050
United States
Michael Cassel
Columbia University
New York, NY 10027
%-7297
United States
Joshua M. Lansky
Department of Mathematics and Statistics
American University
Washington, DC 20016
%-8050
United States
Emma Morgan
Office of Institutional Research and Evaluation
Tufts University
Medford, MA 02155
United States
Yifei Zhao
Department of Mathematics
Harvard University
Cambridge, MA 02138
United States