Timeline for Type of 26-dimensional representation of different real forms of the complex simple Lie algebra $F_4$
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| May 9, 2012 at 21:50 | comment | added | Robert Bryant | Actually, this answer is already in Élie Cartan's 1914 classification of the real forms Les groupes réels simples, finis et continus. He shows there, in the final pages, that there are three real forms of $F_4$, all appearing in $SL(26,\mathbb{R})$: $F^4_{4}$ (the split form) preserves an inner product of type $(14,12)$, $F^{-20}_4$ preserves an inner product of type $(10,16)$, and $F^{-52}_4$ (the compact form) preserves an inner product of type $(26,0)$. | |
| May 4, 2012 at 21:08 | history | edited | Marty | CC BY-SA 3.0 |
minor typographical fixes.
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| May 4, 2012 at 20:05 | vote | accept | José Figueroa-O'Farrill | ||
| May 4, 2012 at 20:05 | comment | added | José Figueroa-O'Farrill | Beautiful! Thanks a lot. This is the sort of confirmation I was hoping for. | |
| May 4, 2012 at 18:50 | history | answered | Marty | CC BY-SA 3.0 |