Dual constructions for partial actions of Hopf algebras
Copyright policy )Dual constructions for partial actions of Hopf algebras
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.
v3: strongly revised version
partial actions, Hopf algebras and their applications, Smash products of general Hopf actions, Algèbre linéaire et matricielle, categories, smash products, Mathematics - Rings and Algebras, Twisted and skew group rings, crossed products, Hopf algebras, Rings and Algebras (math.RA), cosmash products, Théorie des nombres, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), partial comodule algebras, dualities, 16T05, 16S40, 16S35, 16W50
partial actions, Hopf algebras and their applications, Smash products of general Hopf actions, Algèbre linéaire et matricielle, categories, smash products, Mathematics - Rings and Algebras, Twisted and skew group rings, crossed products, Hopf algebras, Rings and Algebras (math.RA), cosmash products, Théorie des nombres, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), partial comodule algebras, dualities, 16T05, 16S40, 16S35, 16W50
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