A parametrization of sheets of conjugacy classes in bad characteristic
- Part of
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- Journal:
- Canadian Mathematical Bulletin / Volume 66 / Issue 3 / September 2023
- Published online by Cambridge University Press:
- 26 January 2023, pp. 976-983
- Print publication:
- September 2023
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- Article
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Let G be a simple algebraic group of adjoint type over an algebraically closed field k of bad characteristic. We show that its sheets of conjugacy classes are parametrized by G-conjugacy classes of pairs (M,{\mathcal O}) where M is the identity component of the centralizer of a semisimple element in G and {\mathcal O} is a rigid unipotent conjugacy class in M, in analogy with the good characteristic case.
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