l-Adic representations associated to modular forms over imaginary quadratic fields

Details l-Adic representations associated to modular forms over imaginary quadratic fields l-Adic representations associated to modular forms over imaginary quadratic fields

2007-07-09

arxiv.org/abs/0707.1338v1

Int. Math. Res. Not. 2007, no. 23, Art. ID rnm113, 16 pp.

Mathematics

Number Theory

11 pages, LaTeX2e; submitted

Scientific paper

Let pi be a regular algebraic cuspidal automorphic representation of GL(2) over an imaginary quadratic number field K such that the central character of pi is invariant under the non-trivial automorphism of K. We show that pi is associated with an l-adic Galois representation rho over K such that at each prime of K outside an explicit finite set the Frobenius polynomial of rho agrees with the Hecke polynomial of pi.

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