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arxiv: math/0406493 · v1 · submitted 2004-06-24 · 🧮 math.AG · math.AC

On affinely closed homogeneous spaces

classification 🧮 math.AG math.AC
keywords affinehomogeneousspacesaffinelyclosedadmitalgebraiccharacterized
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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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