Proof of the Tadic conjecture U0 on the unitary dual of GL(m,D)

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123142Let F be a non-Archimedean local field of characteristic 0, and let D be a finite dimensional central division algebra over F. We prove that any unitary irreducible representation of a Levi subgroup of GL(m,D), with m a positive integer, induces irreducibly to GL(m,D). This ends the classification of the unitary dual of GL(m,D) initiated by Tadic.23 pagesRepresentation Theory22E50Proof of the Tadic conjecture U0 on the unitary dual of GL(m,D)text