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On Affinely Closed, Homogeneous Spaces

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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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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    I. V. Arzhantsev & N. A. Tennova

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  1. I. V. Arzhantsev
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  2. N. A. Tennova
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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

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