Let G/K be a noncompact Riemannian symmetric space and let G(C)/K-C be its complexification. Then G acts on G(C)/K-C 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(C)/K-C. (C) 2002 Elsevier Science (USA).
Geatti, L. (2002). Invariant domains in the complexification of a noncompact Riemannian symmetric space. JOURNAL OF ALGEBRA, 251(2), 619-685 [10.1006/jabr.2001.9150].
Invariant domains in the complexification of a noncompact Riemannian symmetric space
GEATTI, LAURA
2002-01-01
Abstract
Let G/K be a noncompact Riemannian symmetric space and let G(C)/K-C be its complexification. Then G acts on G(C)/K-C 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(C)/K-C. (C) 2002 Elsevier Science (USA).File in questo prodotto:
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