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

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

2001-11-02

arxiv.org/abs/math/0111033v1

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

Mathematics

Representation Theory

29 pages

Scientific paper

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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