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arXiv · 1011.0789

The classification of orbits on certain exceptional Jordan algebra under the automorphism group

Akihiro Nishio
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Abstract

Let $\mathcal{J}^1$ be the real form of complex simple Jordan algebra with the automorphism group $G$ of type $F_{4(-20)}$. Explicitly, we give the orbit decomposition of $\mathcal{J}^1$ under the action of $G$ and determine the Lie group structure of stabilizer for each $G$-orbit on $\mathcal{J}^1$.

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Akihiro Nishio. 2010-11-03. The classification of orbits on certain exceptional Jordan algebra under the automorphism group. https://arxiv.org/abs/1011.0789

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