A classification of unipotent spherical conjugacy classes in bad characteristic

Abstract

Let G be a simple algebraic group over an algebraically closed field k of bad characteristic. We classify the spherical unipotent conjugacy classes of G. We also show that if the characteristic of k is 2, then the fixed point subgroup of every involutorial automorphism (involution) of G is a spherical subgroup of G.

References in corpus (3)

• Remarks on Springer's representations
• Spherical conjugacy classes and Bruhat decomposition
• A classification of spherical conjugacy classes in good characteristic