%0 Journal Article %T Lusztig's Canonical Quotient and Generalized Duality %A Eric Sommers %J Mathematics %D 2001 %I arXiv %X 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. %U http://arxiv.org/abs/math/0104162v1