A classification of unipotent spherical conjugacy classes in bad characteristic

2009/06/27 by Mauro Costantini, Costantini, Mauro
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0906.5063

openalex publication_date 2009/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A classification of spherical conjugacy classes in good characteristic

Related

• A classification of spherical conjugacy classes in good characteristic
• Spherical conjugacy classes and involutions in the Weyl group
• Spherical conjugacy classes and Bruhat decomposition
• A parametrization of sheets of conjugacy classes in bad characteristic
• On the coordinate ring of spherical conjugacy classes