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arXiv · 2310.00170

Disconnected reductive groups

Marisa Gaetz·David Vogan
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Abstract

In this paper, we describe the possible disconnected complex reductive algebraic groups $E$ with component group $\Gamma = E/E_0$. We show that there is a natural bijection between such groups $E$ and algebraic extensions of $\Gamma$ by $Z(E_0)$.

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Marisa Gaetz, David Vogan. 2023-09-29. Disconnected reductive groups. https://arxiv.org/abs/2310.00170

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