English

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

Number Theory 2007-05-23 v2 Representation Theory

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.

Keywords

Cite

@article{arxiv.math/0307300,
  title  = {Augmentation du niveau pour U(3) (Level-Raising for U(3))},
  author = {Joel Bellaiche and Philippe Graftieaux},
  journal= {arXiv preprint arXiv:math/0307300},
  year   = {2007}
}

Comments

25 pages, French