Timeline for Root system automorphisms as inner automorphisms of extended Chevalley group
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 29, 2019 at 20:11 | comment | added | LSpice | Clickable paper link: Berman and Moody - Extensions of Chevalley groups (MSN). | |
| Apr 3, 2014 at 15:08 | answer | added | Victor Petrov | timeline score: 1 | |
| Dec 3, 2013 at 16:16 | vote | accept | Andrei Smolensky | ||
| Nov 21, 2013 at 17:52 | answer | added | Skip | timeline score: 7 | |
| Nov 20, 2013 at 11:30 | comment | added | Jim Humphreys | @Andrei: Your question needs more detail, I think. The Berman-Moody construction aims mainly to capture the diagonal automorphisms of the Chevalley Lie algebra using an "extended" group, but I don't see how the diagram automorphisms would come in. (I wrote longer comments but realized they weren't enough.) Anyway, for type $E_6$ you have the "natural" faithful 27-dimensional representation. But again the extended Berman-Moody group only gives the diagonal automorphisms. | |
| Nov 19, 2013 at 22:46 | comment | added | Andrei Smolensky | @ya-tayr My bad. Indeed, it can not, otherwise the matrix transpose would be inner. | |
| Nov 19, 2013 at 22:44 | history | edited | Andrei Smolensky | CC BY-SA 3.0 |
edited body
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| Nov 19, 2013 at 22:02 | comment | added | ya-tayr | How can the outer automorphism of $SL_n$ be realized as a conjugation inside of $GL_n$? | |
| Nov 19, 2013 at 20:54 | history | edited | Stefan Kohl♦ |
Added top-level tag.
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| Nov 19, 2013 at 20:48 | comment | added | Dietrich Burde | See also mathoverflow.net/questions/123438/…. | |
| Nov 19, 2013 at 20:26 | history | asked | Andrei Smolensky | CC BY-SA 3.0 |