Disconnected reductive groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914860207439872 |
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| author | Gaetz, Marisa Vogan, David |
| author_facet | Gaetz, Marisa Vogan, David |
| contents | In this paper, we describe the possible disconnected complex reductive algebraic groups $E$ with component group $Γ= E/E_0$. We show that there is a natural bijection between such groups $E$ and algebraic extensions of $Γ$ by $Z(E_0)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_00170 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Disconnected reductive groups Gaetz, Marisa Vogan, David Representation Theory 22E10 (Primary), 20G07 (Secondary) In this paper, we describe the possible disconnected complex reductive algebraic groups $E$ with component group $Γ= E/E_0$. We show that there is a natural bijection between such groups $E$ and algebraic extensions of $Γ$ by $Z(E_0)$. |
| title | Disconnected reductive groups |
| topic | Representation Theory 22E10 (Primary), 20G07 (Secondary) |
| url | https://arxiv.org/abs/2310.00170 |