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arxiv: 0802.0244 · v1 · submitted 2008-02-02 · 🧮 math.CV · math.RT

Spherical Stein manifolds and the Weyl involution

classification 🧮 math.CV math.RT
keywords involutiongroupsphericalsteinweylactedactionantiholomorphic
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It is proved that a Stein manifold acted on by a connected compact Lie group is spherical if and only if there exists an antiholomorphic involution preserving each orbit of the action. This involution can be chosen equivariant with respect to a Weyl involution of the group.

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