We show that a cuspidal automorphic representation π = ⊗ℓ≤∞ πℓ of a unitary similitude group GU(a,b)/Q 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 ℓ such that πℓ and GU(a, b) are unramified.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Automorphic representations
- Galois representations
- Unitary groups