
arXiv: 0801.3176
I give an algorithm for computing the full space of automor-phic forms for definite unitary groups over ℚ, and apply this to calculate the automorphic forms of level G(hat{Z}) and various small weights for an example of a rank 3 unitary group. This leads to some examples of various types of endoscopic lifting from automorphic forms for U1 × U1 × U1 and U1 × U2, and to an example of a non-endoscopic form of weight (3, 3) corresponding to a family of 3-dimensional irreducible ℓ-adic Galois representations. I also compute the 2-adic slopes of some automorphic forms with level structure at 2, giving evidence for the local constancy of the slopes.
Representation-theoretic methods; automorphic representations over local and global fields, Mathematics - Number Theory, Galois representations, FOS: Mathematics, Other groups and their modular and automorphic forms (several variables), Number Theory (math.NT), 11F55, QA
Representation-theoretic methods; automorphic representations over local and global fields, Mathematics - Number Theory, Galois representations, FOS: Mathematics, Other groups and their modular and automorphic forms (several variables), Number Theory (math.NT), 11F55, QA
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