From conjugacy classes in the Weyl group to unipotent classes

Abstract

Let G be a connected reductive algebraic group over an algebraic closed field. We define a (surjective) map from the set of conjugacy classes in the Weyl group to the set of unipotent classes of G.

41 pages; 5.2, 5.6, 5.7 are strengthened

Cited by in corpus (4)

• On the Arithmetic Fundamental Lemma in the minuscule case
• Lusztig's partition and sheets (with an appendix by M. Bulois)
• Elliptic elements in a Weyl group: a homogeneity property
• On unipotent and nilpotent pieces for classical groups