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arXiv · 2006.06499

Siegel domains over Finsler symmetric cones

Cho-Ho Chu
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Abstract

Let $\Omega$ be a proper open cone in a real Banach space $V$. We show that the tube domain $V \oplus i\Omega$ over $\Omega$ is biholomorphic to a bounded symmetric domain if and only if $\Omega$ is a normal linearly homogeneous Finsler symmetric cone, which is equivalent to the condition that $V$ is a unital JB-algebra in an equivalent norm and $\Omega$ is the interior of $\{v^2: v\in V\}$.

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Cho-Ho Chu. 2020-06-11. Siegel domains over Finsler symmetric cones. https://arxiv.org/abs/2006.06499

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