#### Vol. 6, No. 8, 2012

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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