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Dual Constructions for Partial Actions of Hopf Algebras
- Publication Year :
- 2014
-
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.<br />v3: strongly revised version
- Subjects :
- Pure mathematics
Algebra and Number Theory
010102 general mathematics
Mathematics::Rings and Algebras
Duality (optimization)
010103 numerical & computational mathematics
Mathematics - Rings and Algebras
Hopf algebra
01 natural sciences
Dual (category theory)
Rings and Algebras (math.RA)
Mathematics::K-Theory and Homology
Mathematics::Category Theory
Mathematics::Quantum Algebra
Mathematics - Quantum Algebra
FOS: Mathematics
Quantum Algebra (math.QA)
16T05, 16S40, 16S35, 16W50
0101 mathematics
Connection (algebraic framework)
Commutative property
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....8ca4ebbd03d7d4844448303f72ed18a5