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arXiv · 1101.0401

Decomposition of compact exceptional Lie groups into their maximal tori

Toshikazu Miyashita
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Abstract

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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Toshikazu Miyashita. 2011-01-02. Decomposition of compact exceptional Lie groups into their maximal tori. https://arxiv.org/abs/1101.0401

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