English

Lusztig's Canonical Quotient and Generalized Duality

Representation Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0104162,
  title  = {Lusztig's Canonical Quotient and Generalized Duality},
  author = {Eric Sommers},
  journal= {arXiv preprint arXiv:math/0104162},
  year   = {2007}
}

Comments

21 pages

R2 v1 2026-07-22T16:38:18.150Z