# Theta lifting for some cohomologicaly induced representations

Abstract : In his paper 'Theta lifting for representations with non zero cohomlogy', Jian-Shu Li proved that a certain kind of cohomological representations of $U(a,b)$ is automorphic. In this paper, this result is generalized to a more general class of cohomological representations of this group. It comes from the fact that these cohomological representations are the image by the theta correspondance of some representations obtained by cohomological induction. In proving this theorem, we also prove some cases of Adams conjecture.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-00418299
Contributor : Mathieu Cossutta <>
Submitted on : Thursday, September 17, 2009 - 6:42:45 PM
Last modification on : Tuesday, April 2, 2019 - 2:15:57 PM
Document(s) archivé(s) le : Tuesday, June 15, 2010 - 11:51:39 PM

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thetalift5.pdf
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• HAL Id : hal-00418299, version 1
• ARXIV : 0909.3360

### Citation

Mathieu Cossutta. Theta lifting for some cohomologicaly induced representations. 2009. ⟨hal-00418299⟩

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