Number theory
On the relationship between distinction and irreducibility of parabolic induction
Comptes Rendus. Mathématique, Volume 357 (2019) no. 11-12, pp. 827-831.

Let U2n denote the quasi-split unitary group over 2n variables with respect to a quadratic extension E/F of p-adic fields. In this short note, we relate GLn(F)-distinction of ladder representations of GLn(E) with irreducibility of its Siegel parabolic induction in U2n.

Soit U2n le groupe unitaire quasi déployé à 2n variables associé à une extension E/F de corps p-adiques. Dans cette courte note, nous établissons un lien entre la propriété de distinction par GLn(F) d'une représentation en échelle de GLn(E) et l'irréductibilité de son induite parabolique.

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DOI: 10.1016/j.crma.2019.10.009
Mitra, Arnab 1

1 Indian Institute of Science Education and Research Tirupati, India
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Mitra, Arnab. On the relationship between distinction and irreducibility of parabolic induction. Comptes Rendus. Mathématique, Volume 357 (2019) no. 11-12, pp. 827-831. doi : 10.1016/j.crma.2019.10.009. http://archive.numdam.org/articles/10.1016/j.crma.2019.10.009/

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