Timeline for The actual Satake diagram EIV
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 10, 2020 at 7:16 | vote | accept | Jose Brox | ||
| May 14, 2018 at 5:51 | comment | added | Torsten Schoeneberg | Btw, if that node were white, would not erasing that same node also give an obviously impossible diagram of type $A_5$? | |
| May 14, 2018 at 5:47 | comment | added | Torsten Schoeneberg | One cannot give enough credit to Tits for that Boulder paper, but as the name of the diagrams suggests, one can also look up many things in Satake's Classification theory of semi-simple algebraic groups (Lecture notes in pure and appl. mathematics 3, Dekker, New York 1971), whose appendix (by M. Sugiura) almost certainly contains the correct diagram (I don't have it ready right now, unfortunately). If I recall correctly, there's also a lot about those diagrams in Tits/Weiss' book on Moufang Polygons, for whatever reason. | |
| Apr 30, 2018 at 10:28 | comment | added | Gro-Tsen | @JoseBrox PS: I should have added that I recommend against using the Cartan labeling "EIV", which is really unhelpful. Instead, I suggest calling this real form $E_6(F_4)$ by its maximal compact subgroup, or $E_{6(-26)}$ by its Cartan index. Also, I might have referred to Jeffrey Adams's nice paper arxiv.org/abs/1310.7917 which provides a helpful link between the "Galois cohomology" and "Cartan involution" points of view for real Lie groups (and provides yet another independent confirmation that the real rank of your form is $2$). | |
| Apr 30, 2018 at 9:21 | vote | accept | Jose Brox | ||
| Jun 10, 2020 at 7:15 | |||||
| Apr 28, 2018 at 19:43 | history | answered | Gro-Tsen | CC BY-SA 3.0 |