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Invariant Domains in the Complexification of a Noncompact Riemannian Symmetric Space

✍ Scribed by Laura Geatti

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 428 KB
Volume: 251
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9150

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✦ Synopsis

Let G/K be a noncompact Riemannian symmetric space and let G /K be its complexification. Then G acts on G /K by left translations. We study the invariant CR-structure of the closed G-orbits of maximal dimension and determine which ones can lie in the boundary of an invariant Stein domain. In this way, we obtain information on the G-invariant Stein domains in G /K .

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