F4 (mathématiques)

${\displaystyle (\pm 1,\pm 1,0,0)}$

${\displaystyle (\pm 1,0,\pm 1,0)}$

${\displaystyle (\pm 1,0,0,\pm 1)}$

${\displaystyle (0,\pm 1,\pm 1,0)}$

${\displaystyle (0,\pm 1,0,\pm 1)}$

${\displaystyle (0,0,\pm 1,\pm 1)}$

${\displaystyle (\pm 1,0,0,0)}$

${\displaystyle (0,\pm 1,0,0)}$

${\displaystyle (0,0,\pm 1,0)}$

${\displaystyle (0,0,0,\pm 1)}$

${\displaystyle \left(\pm {\frac {1}{2}},\pm {\frac {1}{2}},\pm {\frac {1}{2}},\pm {\frac {1}{2}}\right)}$

Racines simples :

${\displaystyle (0,0,0,1)}$

${\displaystyle (0,0,1,-1)}$

${\displaystyle (0,1,-1,0)}$

${\displaystyle \left({\frac {1}{2}},-{\frac {1}{2}},-{\frac {1}{2}},-{\frac {1}{2}}\right)}$

${\displaystyle {\begin{pmatrix}2&-1&0&0\\-1&2&-2&0\\0&-1&2&-1\\0&0&-1&2\end{pmatrix}}}$