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- Weak_Hopf_algebra abstract "In mathematics, weak bialgebras are a generalization of bialgebras that are both algebras and coalgebras but for which the compatibility conditions between the two structures have been \"weakened\". In the same spirit, weak Hopf algebras are weak bialgebras together with a linear map S satisfying specific conditions; they are generalizations of Hopf algebras.These objects were introduced by Böhm, Nill and Szlachányi. The first motivations for studying them came from quantum field theory and operator algebras. Weak Hopf algebras have quite interesting representation theory; in particular modules over a semisimple finite weak Hopf algebra is a fusion category (which is a monoidal category with extra properties). It was also shown by Etingof, Nikshych and Ostrik that any fusion category is equivalent to a category of modules over a weak Hopf algebra.".
- Weak_Hopf_algebra wikiPageID "33826555".
- Weak_Hopf_algebra wikiPageLength "6869".
- Weak_Hopf_algebra wikiPageOutDegree "16".
- Weak_Hopf_algebra wikiPageRevisionID "578837925".
- Weak_Hopf_algebra wikiPageWikiLink Algebra.
- Weak_Hopf_algebra wikiPageWikiLink Bialgebra.
- Weak_Hopf_algebra wikiPageWikiLink Category:Hopf_algebras.
- Weak_Hopf_algebra wikiPageWikiLink Coalgebra.
- Weak_Hopf_algebra wikiPageWikiLink Fusion_category.
- Weak_Hopf_algebra wikiPageWikiLink Groupoid.
- Weak_Hopf_algebra wikiPageWikiLink Hopf_algebra.
- Weak_Hopf_algebra wikiPageWikiLink Mathematics.
- Weak_Hopf_algebra wikiPageWikiLink Monoidal_category.
- Weak_Hopf_algebra wikiPageWikiLink Operator_algebra.
- Weak_Hopf_algebra wikiPageWikiLink Quantum_field_theory.
- Weak_Hopf_algebra wikiPageWikiLink Saunders_Mac_Lane.
- Weak_Hopf_algebra wikiPageWikiLink Vector_space.
- Weak_Hopf_algebra wikiPageWikiLinkText "Weak Hopf algebra".
- Weak_Hopf_algebra wikiPageUsesTemplate Template:Cite_journal.
- Weak_Hopf_algebra wikiPageUsesTemplate Template:Reflist.
- Weak_Hopf_algebra wikiPageUsesTemplate Template:Technical.
- Weak_Hopf_algebra subject Category:Hopf_algebras.
- Weak_Hopf_algebra hypernym Generalization.
- Weak_Hopf_algebra type Algebra.
- Weak_Hopf_algebra comment "In mathematics, weak bialgebras are a generalization of bialgebras that are both algebras and coalgebras but for which the compatibility conditions between the two structures have been \"weakened\". In the same spirit, weak Hopf algebras are weak bialgebras together with a linear map S satisfying specific conditions; they are generalizations of Hopf algebras.These objects were introduced by Böhm, Nill and Szlachányi.".
- Weak_Hopf_algebra label "Weak Hopf algebra".
- Weak_Hopf_algebra sameAs Q7977933.
- Weak_Hopf_algebra sameAs m.0hn8hj6.
- Weak_Hopf_algebra sameAs Q7977933.
- Weak_Hopf_algebra wasDerivedFrom Weak_Hopf_algebra?oldid=578837925.
- Weak_Hopf_algebra isPrimaryTopicOf Weak_Hopf_algebra.