Abstract
Affinely closed, homogeneous spaces G/H, i.e., affine homogeneous spaces that admit only the trivial affine embedding, are characterized for an arbitrary affine algebraic group G. A description of affine G-algebras with finitely generated invariant subalgebras is obtained.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 14, Algebra, 2004.
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Arzhantsev, I.V., Tennova, N.A. On Affinely Closed, Homogeneous Spaces. J Math Sci 131, 6133–6139 (2005). https://doi.org/10.1007/s10958-005-0466-7
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DOI: https://doi.org/10.1007/s10958-005-0466-7