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Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces
Author(s):
Simon
Gindikin;
Bernhard
Krötz
Journal:
Trans. Amer. Math. Soc.
354
(2002),
3299-3327.
MSC (2000):
Primary 22E46
Posted:
April 3, 2002
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Abstract:
In this paper we define a distinguished boundary for the complex crowns  of non-compact Riemannian symmetric spaces  . The basic result is that affine symmetric spaces of  can appear as a component of this boundary if and only if they are non-compactly causal symmetric spaces.
References:
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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:
10.1090/S0002-9947-02-03012-X
PII:
S 0002-9947(02)03012-X
Keywords:
Riemannian symmetric spaces,
non-compactly causal symmetric spaces
Received by editor(s):
November 2, 2001
Posted:
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
Copyright of article:
Copyright
2002,
American Mathematical Society
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