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arXiv · 2607.01195

Hopf algebraic homogeneous spaces interpreted rationally: the Abe-Kanno theorem

Serge Skryabin
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Abstract

We present a Hopf algebraic generalization of the Abe-Kanno theorem on a correspondence between subgroups of an algebraic group and invariant subfields of the field of rational functions. It applies to residually finite-dimensional Hopf algebras admitting an artinian classical quotient ring and is used in the paper to derive some general properties of such Hopf algebras.

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Serge Skryabin. 2026-07-01. Hopf algebraic homogeneous spaces interpreted rationally: the Abe-Kanno theorem. https://arxiv.org/abs/2607.01195

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