On finite-dimensional copointed Hopf algebras over dihedral groups

dc.creatorFantino, Fernando Amado
dc.creatorGarcía, Gastón Andrés
dc.creatorMastnak, Mitja
dc.date.accessioned2019-09-11T15:29:52Z
dc.date.accessioned2022-10-15T12:23:21Z
dc.date.available2019-09-11T15:29:52Z
dc.date.available2022-10-15T12:23:21Z
dc.date.created2019-09-11T15:29:52Z
dc.date.issued2019-08
dc.identifierFantino, Fernando Amado; García, Gastón Andrés; Mastnak, Mitja; On finite-dimensional copointed Hopf algebras over dihedral groups; Elsevier Science; Journal Of Pure And Applied Algebra; 223; 8; 8-2019; 3611-3634
dc.identifier0022-4049
dc.identifierhttp://hdl.handle.net/11336/83342
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4385577
dc.description.abstractWe classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero such that its coradical is isomorphic to the algebra of functions k D m over a dihedral group D m , with m=4a≥12. We obtain this classification by means of the lifting method, where we use cohomology theory to determine all possible deformations. Our result provides an infinite family of new examples of finite-dimensional copointed Hopf algebras over dihedral groups.
dc.languageeng
dc.publisherElsevier Science
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022404918302895
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jpaa.2018.11.021
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1608.06167
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDEFORMATIONS
dc.subjectDIHEDRAL GROUP
dc.subjectHOPF ALGEBRAS
dc.subjectNICHOLS ALGEBRAS
dc.titleOn finite-dimensional copointed Hopf algebras over dihedral groups
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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