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arXiv · 1807.08504

A correspondence between homogeneous and Galois coactions of Hopf algebras

Kenny De Commer·Johan Konings
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Abstract

A coaction of a Hopf algebra on a unital algebra is called homogeneous if the algebra of coinvariants equals the ground field. A coaction of a Hopf algebra on a (not necessarily unital) algebra is called Galois, or principal, or free, if the canonical map, also known as the Galois map, is bijective. In this paper, we establish a duality between a particular class of homogeneous coactions, up to equivariant Morita equivalence, and Galois coactions, up to isomorphism.

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Kenny De Commer, Johan Konings. 2018-07-23. A correspondence between homogeneous and Galois coactions of Hopf algebras. https://arxiv.org/abs/1807.08504

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