A parametrization of sheets of conjugacy classes in bad characteristic
Representation Theory
2022-08-18 v1 Group Theory
Abstract
Let G be a simple algebraic group of adjoint type over an algebraically closed field of bad characteristic. We show that its sheets of conjugacy classes are parametrized by G-conjugacy classes of pairs (M,O) where M is the identity component of the centralizer of a semisimple element in G and O is a rigid unipotent conjugacy class in M, in analogy with the good characteristic case.
Keywords
Cite
@article{arxiv.2208.08418,
title = {A parametrization of sheets of conjugacy classes in bad characteristic},
author = {Filippo Ambrosio and Giovanna Carnovale and Francesco Esposito},
journal= {arXiv preprint arXiv:2208.08418},
year = {2022}
}