Decomposition of compact exceptional Lie groups into their maximal tori
  In this paper we treat the intersection of fixed point subgroups by the involutive automorphisms of exceptional Lie group $G= F_4, E_6, E_7$. We shall find involutive automorphisms of $G$ such that the connected component of the intersection of those fixed point subgroups coincides with the maximal torus of $G$. 
Toshikazu Miyashita
math.DG math-ph math.MP