Timeline for Élie Cartan's paper "Les groupes réels simples, finis et continus" of 1914
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 1, 2020 at 4:31 | vote | accept | Mikhail Borovoi | ||
| Jun 30, 2020 at 20:25 | history | became hot network question | |||
| Jun 30, 2020 at 17:10 | comment | added | Mikhail Borovoi | @YCor: You are right. We need real structures (anti-linear involutions). However, conjugacy classes of of real structures bijectively correspond to conjugacy classes of $\Bbb C$-linear involutions. See page 442 of Helgason's book, or Serre, Cohomologie galoisienne, III.4.5, Theorem 6 and Example (b). Helgason writes that Cartan discovered this later, in 1929. | |
| Jun 30, 2020 at 15:19 | answer | added | Francois Ziegler | timeline score: 9 | |
| Jun 30, 2020 at 14:22 | comment | added | YCor | About Q3: scholar.google.fr/… can always help. | |
| Jun 30, 2020 at 14:20 | comment | added | YCor | Why are you asking about $\mathbf{C}$-linear involutions? doesn't the topic of the paper suggest that it classifies $\mathbf{C}$-skew-linear involution? In any case it is never explicit (the paper doesn't mention automorphisms). And all along it makes this classification, which is equivalent to classifying those skew-linear involutions (more than half of the paper is about exceptional cases EFG). I don't think it gives any information on linear involutions. | |
| Jun 30, 2020 at 14:11 | history | edited | YCor | CC BY-SA 4.0 |
removed unnecessary word in title
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| Jun 30, 2020 at 12:40 | answer | added | Piotr Hajlasz | timeline score: 3 | |
| Jun 30, 2020 at 12:24 | comment | added | Mikhail Borovoi | I do read French. However, it is hard to read a paper on Lie groups or Lie algebras written before Dynkin: the language has changed completely! | |
| Jun 30, 2020 at 12:22 | history | asked | Mikhail Borovoi | CC BY-SA 4.0 |