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Statements

Subject Item

dbr:Quasi-Hopf_algebra

rdf:type

yago:WikicatQuantumGroups yago:Abstraction100002137 yago:Group100031264

rdfs:label

Quasi-Hopf algebra Algèbre de quasi-Hopf

rdfs:comment

En mathématiques, la structure d'algèbre de quasi-Hopf est une généralisation de la structure d'algèbre de Hopf, construite à partir d'une quasi-bialgèbre au lieu d'une bialgèbre. A quasi-Hopf algebra is a generalization of a Hopf algebra, which was defined by the Russian mathematician Vladimir Drinfeld in 1989. A quasi-Hopf algebra is a quasi-bialgebra for which there exist and a bijective antihomomorphism S (antipode) of such that for all and where and where the expansions for the quantities and are given by and As for a quasi-bialgebra, the property of being quasi-Hopf is preserved under twisting.

dcterms:subject

dbc:Coalgebras

dbo:wikiPageID

4899676

dbo:wikiPageRevisionID

928933686

dbo:wikiPageWikiLink

dbr:Representation_theory dbr:Yang–Baxter_equation dbc:Coalgebras dbr:Quasi-triangular_quasi-Hopf_algebra dbr:Integrable_model dbr:Antihomomorphism dbr:Bethe_ansatz dbr:Hopf_algebra dbr:Drinfeld_twist dbr:F-matrix dbr:Quasi-bialgebra dbr:Quantum_affine_algebras dbr:Antipode_(algebra) dbr:Quantum_inverse_scattering_method dbr:Quasitriangular_Hopf_algebra dbr:Bijection dbr:R-matrix dbr:Heisenberg_XXZ_model dbr:Ribbon_Hopf_algebra dbr:Vladimir_Drinfeld dbr:Statistical_mechanics

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n5:2du1u yago-res:Quasi-Hopf_algebra freebase:m.0ct5rf wikidata:Q2835962 dbpedia-fr:Algèbre_de_quasi-Hopf

dbo:abstract

En mathématiques, la structure d'algèbre de quasi-Hopf est une généralisation de la structure d'algèbre de Hopf, construite à partir d'une quasi-bialgèbre au lieu d'une bialgèbre. A quasi-Hopf algebra is a generalization of a Hopf algebra, which was defined by the Russian mathematician Vladimir Drinfeld in 1989. A quasi-Hopf algebra is a quasi-bialgebra for which there exist and a bijective antihomomorphism S (antipode) of such that for all and where and where the expansions for the quantities and are given by and As for a quasi-bialgebra, the property of being quasi-Hopf is preserved under twisting.

prov:wasDerivedFrom

wikipedia-en:Quasi-Hopf_algebra?oldid=928933686&ns=0

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2506

foaf:isPrimaryTopicOf

wikipedia-en:Quasi-Hopf_algebra