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Augmentation du niveau pour U(3) (Level-Raising for U(3))

Joel Bellaiche·Philippe Graftieaux
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Abstract

We prove, for the form of unitary group in three variables attached to a CM extension which is compact at infinity, a level-raising theorem analogous to the one of Taylor (inv. math. 98, 265-280) in the case of a quaternion algebra. We give an application to non tempered automorphic forms.

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Joel Bellaiche, Philippe Graftieaux. 2003-09-25. Augmentation du niveau pour U(3) (Level-Raising for U(3)). https://arxiv.org/abs/math/0307300

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