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arxiv: math/0111033 · v1 · submitted 2001-11-02 · 🧮 math.RT · math.CV

Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces

classification 🧮 math.RT math.CV
keywords spacessymmetricboundarycausalcomplexcrownsnon-compactlyriemannian
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In this paper we define a distinguished boundary for the complex crowns $\Xi\subeq G_\C /K_\C$ of non-compact Riemannian symmetric spaces $G/K$. The basic result is that affine symmetric spaces of $G$ can appear as a component of this boundary if and only if they are non-compactly causal symmetric spaces.

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