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

2001/11/02 by Simon Gindikin, Bernhard Kroetz
Mathematics · #math.RT #math.CV #msc:22E10 #msc:22E15 #msc:32M15

paper · pdf

published as Trans. Amer. Math. Soc. 354 (2002), 3299-3327. · 29 pages

arxiv created 2001/11/02 · arxiv updated 2009/11/30

Abstract

In this paper we define a distinguished boundary for the complex crowns Ξ\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.

Related

• Wedge domains in non-compactly causal symmetric spaces
• The c-function for non-compactly causal symmetric spaces
• The Geometry of Grauert Tubes and Complexification of Symmetric Spaces
• Weakly complex inner symmetric spaces
• Representation theory, Radon transform and the heat equation on a Riemannian symmetric space