Abstract
Deligne, Kazhdan and Vignéras proved that, for an inner form of $GL_n$ over a zero characteristic $p$-adic field, the induced representation from a square integrable irreducible representation is irrreducible. Here we prove the case of non-zero characteristic.
Citation
Alexandru I. Badulescu. "Un résultat d'irréductibilité en caractéristique non nulle." Tohoku Math. J. (2) 56 (4) 583 - 592, 2004. https://doi.org/10.2748/tmj/1113246752
Information