Lusztig's Canonical Quotient and Generalized Duality
arXiv:math/0104162
Abstract
We 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 pages