Vol. 6, No. 3, 2012

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The image of complex conjugation in $l$-adic representations associated to automorphic forms

Richard Taylor

Vol. 6 (2012), No. 3, 405–435
Abstract

If F+ is a totally real field, if n is an odd integer and if Π is a regular, algebraic, essentially self-dual, cuspidal automorphic representation of GLn(AF+), then we calculate the image of any complex conjugation under the l-adic representations rl,ι(Π) associated to Π.

Keywords
Galois representations
Mathematical Subject Classification 2000
Primary: 11F80
Milestones
Received: 29 April 2010
Revised: 2 January 2011
Accepted: 20 February 2011
Published: 5 July 2012
Authors
Richard Taylor
Department of Mathematics
Harvard University
One Oxford Street
Cambridge, MA 02138
United States
http://www.math.harvard.edu/~rtaylor