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On affinely closed homogeneous spaces

Ivan V. Arzhantsev, Natalia A. Tennova

math.AGarXiv:math/0406493

Abstract

Affinely closed homogeneous spaces G/H, i.e., affine homogeneous spaces that admit only the trivial affine embedding, are characterized for any affine algebraic group G. As a corollary, a description of affine G-algebras with finitely generated invariant subalgebras is obtained.

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