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

Gindikin, Simon; Krötz, Bernhard

doi:10.1090/S0002-9947-02-03012-X

Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces
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by Simon Gindikin and Bernhard Krötz

Trans. Amer. Math. Soc. 354 (2002), 3299-3327

DOI: https://doi.org/10.1090/S0002-9947-02-03012-X

Published electronically: April 3, 2002

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Abstract:

In this paper we define a distinguished boundary for the complex crowns $\Xi \subseteq G_{\mathbb {C}} /K_{\mathbb {C}}$ 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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