Timeline for Why are parabolic subgroups called "parabolic subgroups"?
Current License: CC BY-SA 2.5
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 25, 2022 at 1:46 | comment | added | Callum | @PerAlexandersson I'm afraid that no proper parabolic subgroup can ever be normal | |
| Apr 13, 2020 at 9:59 | comment | added | Per Alexandersson | Is there a parabolic, and normal subgroup? A "paranormal" subgroup perhaps? | |
| Apr 11, 2020 at 23:24 | answer | added | Francois Ziegler | timeline score: 16 | |
| Jun 24, 2015 at 15:43 | comment | added | Jim Humphreys | @LSpice: Mais oui! | |
| Jun 24, 2015 at 14:26 | comment | added | LSpice | @JimHumphreys, I hadn't noticed the "famous footnote" before, but I guess you refer to the charmingly coy "L'un des auteurs insistant pour que l'on adopte cette terminologie, aujourd'hui généralement admise, l'autre auteur s'y résigne." on p. 669? | |
| May 18, 2010 at 15:11 | vote | accept | Timothy Chow | ||
| May 17, 2010 at 14:13 | comment | added | Timothy Chow | @Victor: What makes you so certain that it's #1? Any concrete evidence? I can imagine either definition being the original one and the other one being the folk etymology that was invented because it seemed plausible. | |
| May 17, 2010 at 11:44 | answer | added | Benoît Kloeckner | timeline score: 11 | |
| May 17, 2010 at 11:31 | comment | added | Jim Humphreys | The invention of "parahoric" (after Iwahori) is apparently due to Bruhat-Tits in their follow-up work on structure theory over local fields following fundamental work by Iwahori and Matsumoto. Tits has always been fond of this kind of wordplay. (The introduction of "Borel subgroup" in his 1965 paper with Borel was probably due to Tits, though they left that ambiguous in a famous footnote.) | |
| May 17, 2010 at 10:44 | answer | added | Gjergji Zaimi | timeline score: 25 | |
| May 17, 2010 at 9:00 | comment | added | user717 | Wow, the second one would be very creative. | |
| May 17, 2010 at 3:38 | comment | added | Victor Protsak | I am certain that it's #1, but the terms "parahoric" (containing an Iwahori subgroup) and "mirabolic" (miracle parabolic) were so named to be consonant with "parabolic", which may have led to the folk etymology you've described. | |
| May 17, 2010 at 3:15 | history | asked | Timothy Chow | CC BY-SA 2.5 |