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arXiv · 1403.1399

Dual Constructions for Partial Actions of Hopf Algebras

Eliezer Batista·Joost Vercruysse
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Abstract

The duality between partial actions (partial $H$-module algebras) and co-actions (partial $H$-comodule algebras) of a Hopf algebra $H$ is fully explored in this work. A connection between partial (co)actions and Hopf algebroids is established under certain commutativity conditions. Moreover, we continue this duality study, introducing also partial $H$-module coalgebras and their associated $C$-rings, partial $H$-comodule coalgebras and their associated cosmash coproducts, as well as the mutual interrelations between these structures.

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BibTeXRIS

Eliezer Batista, Joost Vercruysse. 2014-03-06. Dual Constructions for Partial Actions of Hopf Algebras. https://arxiv.org/abs/1403.1399

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