Vol. 6, No. 8, 2012

 Recent Issues
 The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1944-7833 (e-only) ISSN: 1937-0652 (print) Author Index To Appear Other MSP Journals
Galois representations associated with unitary groups over $\mathbb Q$

Christopher Skinner

Vol. 6 (2012), No. 8, 1697–1717
Abstract

We show that a cuspidal automorphic representation $\pi ={\otimes }_{\ell \le \infty }{\pi }_{\ell }$ of a unitary similitude group $GU{\left(a,b\right)}_{∕ℚ}$ with archimedean component ${\pi }_{\infty }$ in a regular discrete series has an associated $\left(a+b\right)$-dimensional $p$-adic Galois representation with Frobenius eigenvalues given by the local base change parameters for all primes $\ell$ such that ${\pi }_{\ell }$ and $GU\left(a,b\right)$ are unramified.

Keywords
Galois representations, unitary groups, automorphic representations
Mathematical Subject Classification 2010
Primary: 11F80
Secondary: 11F70, 11F66