Infinite-dimensionality of the Automorphism Groups of Homogeneous Stein Manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162253We show that the group of holomorphic automorphisms of a Stein manifold X of dimension greater than 1 is infinite-dimensional, provided X is a homogeneous space of a holomorphic action of a complex Lie group.Complex Variables32M05; 32M10; 32E10Infinite-dimensionality of the Automorphism Groups of Homogeneous Stein Manifoldstext