Tohoku Mathematical Journal
2004
December
SECOND SERIES VOL. 56, NO. 4

Tohoku Math. J.
56 (2004), 583-592

Title UN RÉSULTANT D'IRRÉDUCTIBILITÉ EN CARACTÉERISTIQUE NON NULLE

Author Alexandru I. Badulescu

(Received April 14, 2003, revised September 12, 2003)
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.

2000 Mathematics Subject Classification. Primary 20G05; Secondary 20G25, 20G30.

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