[Sur la relation entre distinction et irréductibilité de l'induction parabolique]
Soit le groupe unitaire quasi déployé à 2n variables associé à une extension de corps p-adiques. Dans cette courte note, nous établissons un lien entre la propriété de distinction par d'une représentation en échelle de et l'irréductibilité de son induite parabolique.
Let denote the quasi-split unitary group over 2n variables with respect to a quadratic extension of p-adic fields. In this short note, we relate -distinction of ladder representations of with irreducibility of its Siegel parabolic induction in .
Accepté le :
Publié le :
Arnab Mitra 1
@article{CRMATH_2019__357_11-12_827_0, author = {Arnab Mitra}, title = {On the relationship between distinction and irreducibility of parabolic induction}, journal = {Comptes Rendus. Math\'ematique}, pages = {827--831}, publisher = {Elsevier}, volume = {357}, number = {11-12}, year = {2019}, doi = {10.1016/j.crma.2019.10.009}, language = {en}, }
Arnab Mitra. 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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.10.009/
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