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arXiv · 1012.3517

Fixed points subgroups $G^{σ,σ'}$ by two involutive automorphisms $σ$, $σ'$ of exceptional compact Lie group $G$, Part II, $G = E_8$

Toshikazu Miyashita
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Abstract

For the simply connected compact exceptional Lie group $E_8$, we determine the structure of subgroup $(E_8)^{σ, σ'}$ of $E_8$ which is the intersection $(E_8)^σ\cap (E_8)^{σ'}$. Then the space $E_8/(E_8)^{σ, σ'}$ is the exceptional $\mathbb{Z}_2 \times \mathbb{Z}_2$- symmetric space of type EVIII-VIII-VIII, and that we give two involutions $σ, σ'$ for the space $E_8/(E_8)^{σ, σ'}$ concretely.

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Toshikazu Miyashita. 2010-12-16. Fixed points subgroups $G^{σ,σ'}$ by two involutive automorphisms $σ$, $σ'$ of exceptional compact Lie group $G$, Part II, $G = E_8$. https://arxiv.org/abs/1012.3517

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