论文标题

在不良特征中的共轭类课程的参数化

A parametrization of sheets of conjugacy classes in bad characteristic

论文作者

Ambrosio, Filippo, Carnovale, Giovanna, Esposito, Francesco

论文摘要

令G为隔离类型的简单代数组,在一个不良特征的代数封闭场上。我们表明,其共轭类别的表格是通过对g-缀合性类(m,o)参数化的,其中m是g和o中半元素元素的centralizer的身份成分,是m中刚性的单位性共轭类,与良好的情况相比。

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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