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Nov 8, 2021 at 11:26 comment added spin It also works for semisimple groups in good characteristic, and there is a generalization for all characteristics. But it is unclear from the question what kind of generalization you are looking for.
Nov 7, 2021 at 7:24 comment added Mikhail Borovoi Since the Borel-de Siebenthal theory is about root systems, it works verbatim for semisimple groups over an algebraically closed field of char. 0. If the base field is not closed, you should consider the Galois action and maybe Galois cohomology (1st and 2nd).
Nov 6, 2021 at 22:40 history edited Daniel Sebald CC BY-SA 4.0
Rewrote entirely
Nov 6, 2021 at 22:17 comment added LSpice Indeed: what is Borel–de Siebenthal theory to you? To me, it is a statement about arbitrary semisimple (even reductive) algebraic groups.
Nov 6, 2021 at 22:17 review Close votes
Nov 6, 2021 at 22:57
Nov 6, 2021 at 21:42 comment added Jason Starr Are you asking for an analogue over other topologized fields, such as $p$-adic fields?
Nov 6, 2021 at 21:27 comment added Mikhail Borovoi If you indeed want to get an answer, I would recommend you to add details.
Nov 6, 2021 at 21:20 review Low quality posts
Nov 6, 2021 at 21:22
Nov 6, 2021 at 21:04 history asked Daniel Sebald CC BY-SA 4.0