Spherical Stein spaces

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dc.creatorAkhiezer, D.
dc.creatorHeinzner, P.
dc.date2004-12-28
dc.date.accessioned2026-07-07T05:15:40Z
dc.date.available2026-07-07T05:15:40Z
dc.descriptionLet X be an irreducible reduced complex space on which a connected compact Lie group K acts by holomorphic automorphisms. Let G be the complexification of K and g the Lie algebra of G. Following the theory of algebraic transformation groups, we call the complex space X spherical if X is normal and its tangent space at some point is generated by the vector fields from a Borel subalgebra b or g. We give several characterizations of spherical Stein spaces. In particular, we prove that a connected Stein manifold X is spherical if and only if the algebra of K-invariant differential operators on X is commutative.
dc.descriptionplain TeX, 8 pages
dc.identifierhttps://arxiv.org/abs/math/0412509
dc.identifierhttp://arxiv.org/abs/math/0412509
dc.identifiermanuscripta math. 114 (2004) 327-334
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73709
dc.subjectComplex Variables
dc.subjectRepresentation Theory
dc.subject32M05
dc.titleSpherical Stein spaces
dc.typetext

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