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arXiv · 2105.01273

Real fundamental Chevalley involutions and conjugacy classes

Gang Han·Binyong Sun
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Abstract

Let $\mathsf G$ be a connected reductive linear algebraic group defined over $\mathbb R$, and let $C: \mathsf G\rightarrow \mathsf G$ be a fundamental Chevalley involution. We show that for every $g\in \mathsf G(\mathbb R)$, $C(g)$ is conjugate to $g^{-1}$ in the group $\mathsf G(\mathbb R)$. Similar result on the Lie algebras is also obtained.

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Gang Han, Binyong Sun. 2021-05-04. Real fundamental Chevalley involutions and conjugacy classes. https://arxiv.org/abs/2105.01273

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