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Transactions of the American Mathematical Society

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


Authors: Simon Gindikin and Bernhard Krötz
Journal: Trans. Amer. Math. Soc. 354 (2002), 3299-3327
MSC (2000): Primary 22E46
Published electronically: April 3, 2002
MathSciNet review: 1897401
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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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Additional Information

Simon Gindikin
Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
Email: gindikin@math.rutgers.edu

Bernhard Krötz
Affiliation: The Ohio State University, Department of Mathematics, 231 West 18th Avenue, Columbus, Ohio 43210-1174
Email: kroetz@math.ohio-state.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-02-03012-X
Keywords: Riemannian symmetric spaces, non-compactly causal symmetric spaces
Received by editor(s): November 2, 2001
Published electronically: April 3, 2002
Additional Notes: The first author was supported in part by NSF-grant DMS-0097314 and the MSRI
The second author was supported in part by NSF-grant DMS-0070816 and the MSRI
Article copyright: © Copyright 2002 American Mathematical Society