论文标题
J. Tits之后，出色的简单谎言组$ f_ {4（-20）} $
The exceptional simple Lie group $F_{4(-20)}$, after J. Tits
论文作者
论文摘要
这是一张半响起的论文，首先，我们从\ cite {tits}，厚度平面$ h^2（CAY）$ cayley数字$ cay $的广告山雀的合成结构开始，这是其自动形态群体，这是其出色的简单lie组$ g = f_ = f_ = f_ = f_ {4（-20）} $。令$ g = kan $是伊瓦川分解。我们的贡献是： a）明确写下$ n $在$ h^2（cay）$ tits'model上的动作，面对$ cay $的关联性。 b）如果$ man $表示$ g $的最小抛物线亚组，以$ m $几何形式来表征。
This is a semi-survey paper, where we start by advertising Tits' synthetic construction from \cite{Tits}, of the hyperbolic plane $H^2(Cay)$ over the Cayley numbers $Cay$, and of its automorphism group which is the exceptional simple Lie group $G=F_{4(-20)}$. Let $G=KAN$ be the Iwasawa decomposition. Our contributions are: a) Writing down explicitly the action of $N$ on $H^2(Cay)$ in Tits'model, facing the lack of associativity of $Cay$. b) If $MAN$ denotes the minimal parabolic subgroup of $G$, characterizing $M$ geometrically.
