2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61316We present a new characterization of Lusztig's canonical quotient group. We also define a duality map: to a pair consisting of a nilpotent orbit and a conjugacy class in its fundamental group, the map assigns a nilpotent orbit in the Langlands dual Lie algebra.21 pagesRepresentation Theory17Btext