Abstract
We show that the group \({{\rm Aut}_{\mathcal O}(X)}\) of holomorphic automorphisms of a Stein manifold X with dim X ≥ 2 is infinite-dimensional, provided X is a homogeneous space of a holomorphic action of a complex Lie group.
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Huckleberry, A., Isaev, A. Infinite-dimensionality of the automorphism groups of homogeneous Stein manifolds. Math. Ann. 344, 279–291 (2009). https://doi.org/10.1007/s00208-008-0304-6
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DOI: https://doi.org/10.1007/s00208-008-0304-6