Abstract
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.
Original language | English (US) |
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Pages (from-to) | 1697-1719 |
Number of pages | 23 |
Journal | Algebra and Number Theory |
Volume | 6 |
Issue number | 8 |
DOIs | |
State | Published - 2012 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
Keywords
- Automorphic representations
- Galois representations
- Unitary groups