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arxiv: 1208.1304 · v1 · pith:ARE6ZUZFnew · submitted 2012-08-06 · 🧮 math.CV

Quotients of the crown domain by a proper action of a cyclic group

classification 🧮 math.CV
keywords actioncrowncyclicdomaingammagroupproperanalogous
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Let G/K be an irreducible Riemannian symmetric space of the non-compact type and denote by \Xi the associated crown domain. We show that for any proper action of a cyclic group \Gamma the quotient \Xi/\Gamma is Stein. An analogous statement holds true for discrete nilpotent subgroups of a maximal split-solvable subgroup of G. We also show that \Xi is taut.

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