A classification of spherical conjugacy classes in good characteristic

TL;DR

This paper classifies spherical conjugacy classes within simple algebraic groups over algebraically closed fields of good, odd characteristic, providing a comprehensive understanding of their structure.

Contribution

It offers the first complete classification of spherical conjugacy classes in simple algebraic groups in good, odd characteristic.

Findings

Classification of all spherical conjugacy classes achieved

Identification of key structural properties of these classes

Extension of known results to new characteristic settings

Abstract

We classify spherical conjugacy classes in a simple algebraic group over an algebraically closed field of good, odd characteristic.