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arXiv · 2208.08418

A parametrization of sheets of conjugacy classes in bad characteristic

Filippo Ambrosio·Giovanna Carnovale·Francesco Esposito
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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.

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Filippo Ambrosio, Giovanna Carnovale, Francesco Esposito. 2022-08-17. A parametrization of sheets of conjugacy classes in bad characteristic. https://arxiv.org/abs/2208.08418

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