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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 wikiPageRevisionID "578837925".
- Weak_Hopf_algebra hasPhotoCollection Weak_Hopf_algebra.
- Weak_Hopf_algebra subject Category:Hopf_algebras.
- Weak_Hopf_algebra type Abstraction100002137.
- Weak_Hopf_algebra type Algebra106012726.
- Weak_Hopf_algebra type Cognition100023271.
- Weak_Hopf_algebra type Content105809192.
- Weak_Hopf_algebra type Discipline105996646.
- Weak_Hopf_algebra type HopfAlgebras.
- Weak_Hopf_algebra type KnowledgeDomain105999266.
- Weak_Hopf_algebra type Mathematics106000644.
- Weak_Hopf_algebra type PsychologicalFeature100023100.
- Weak_Hopf_algebra type PureMathematics106003682.
- Weak_Hopf_algebra type Science105999797.
- 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 m.0hn8hj6.
- Weak_Hopf_algebra sameAs Q7977933.
- Weak_Hopf_algebra sameAs Q7977933.
- Weak_Hopf_algebra sameAs Weak_Hopf_algebra.
- Weak_Hopf_algebra wasDerivedFrom Weak_Hopf_algebra?oldid=578837925.
- Weak_Hopf_algebra isPrimaryTopicOf Weak_Hopf_algebra.