Galois representations associated with unitary groups over Q

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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 π and GU(a, b) are unramified.

Original languageEnglish (US)
Pages (from-to)1697-1719
Number of pages23
JournalAlgebra and Number Theory
Volume6
Issue number8
DOIs
StatePublished - Dec 1 2012

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Automorphic representations
  • Galois representations
  • Unitary groups

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