Vol. 6, No. 8, 2012

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

Volume 11, 1 issue

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
Editorial Board
Editors' Addresses
Editors' Interests
About the Journal
Scientific Advantages
Submission Guidelines
Submission Form
Editorial Login
Author Index
To Appear
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Galois representations associated with unitary groups over $\mathbb Q$

Christopher Skinner

Vol. 6 (2012), No. 8, 1697–1717

We show that a cuspidal automorphic representation π = π of a unitary similitude group GU(a,b) with archimedean component π in a regular discrete series has an associated (a + b)-dimensional p-adic Galois representation with Frobenius eigenvalues given by the local base change parameters for all primes such that π and GU(a,b) are unramified.

Galois representations, unitary groups, automorphic representations
Mathematical Subject Classification 2010
Primary: 11F80
Secondary: 11F70, 11F66
Received: 31 March 2011
Accepted: 21 July 2011
Published: 14 December 2012
Christopher Skinner
Department of Mathematics
Princeton University
Fine Hall
Washington Road
Princeton, NJ 08544-1000
United States