Decomposition of compact exceptional Lie groups into their maximal tori

Details Decomposition of compact exceptional Lie groups into their maximal tori Decomposition of compact exceptional Lie groups into their maximal tori

2011-01-02

arxiv.org/abs/1101.0401v1

Tokyo J. of Math. 30-2(2007), 455-463

Mathematics

Differential Geometry

10 pages

Scientific paper

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
$G$.

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