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- Hopf_algebra abstract "In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously an (unital associative) algebra and a (counital coassociative) coalgebra, with these structures' compatibility making it a bialgebra, and that moreover is equipped with an antiautomorphism satisfying a certain property. The representation theory of a Hopf algebra is particularly nice, since the existence of compatible comultiplication, counit, and antipode allows for the construction of tensor products of representations, trivial representations, and dual representations.Hopf algebras occur naturally in algebraic topology, where they originated and are related to the H-space concept, in group scheme theory, in group theory (via the concept of a group ring), and in numerous other places, making them probably the most familiar type of bialgebra. Hopf algebras are also studied in their own right, with much work on specific classes of examples on the one hand and classification problems on the other.".
- Hopf_algebra thumbnail Hopf_algebra.svg?width=300.
- Hopf_algebra wikiPageExternalLink books?id=8FnvAAAAMAAJ.
- Hopf_algebra wikiPageExternalLink M-06-40.pdf.
- Hopf_algebra wikiPageID "325714".
- Hopf_algebra wikiPageRevisionID "606355868".
- Hopf_algebra hasPhotoCollection Hopf_algebra.
- Hopf_algebra subject Category:Hopf_algebras.
- Hopf_algebra subject Category:Monoidal_categories.
- Hopf_algebra subject Category:Representation_theory.
- Hopf_algebra type Abstraction100002137.
- Hopf_algebra type Algebra106012726.
- Hopf_algebra type Class107997703.
- Hopf_algebra type Cognition100023271.
- Hopf_algebra type Collection107951464.
- Hopf_algebra type Content105809192.
- Hopf_algebra type Discipline105996646.
- Hopf_algebra type Group100031264.
- Hopf_algebra type HopfAlgebras.
- Hopf_algebra type KnowledgeDomain105999266.
- Hopf_algebra type Mathematics106000644.
- Hopf_algebra type MonoidalCategories.
- Hopf_algebra type PsychologicalFeature100023100.
- Hopf_algebra type PureMathematics106003682.
- Hopf_algebra type Science105999797.
- Hopf_algebra comment "In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously an (unital associative) algebra and a (counital coassociative) coalgebra, with these structures' compatibility making it a bialgebra, and that moreover is equipped with an antiautomorphism satisfying a certain property.".
- Hopf_algebra label "Algèbre de Hopf".
- Hopf_algebra label "Hopf algebra".
- Hopf_algebra label "Hopf-Algebra".
- Hopf_algebra label "Hopf-algebra".
- Hopf_algebra label "Álgebra de Hopf".
- Hopf_algebra label "Алгебра Хопфа".
- Hopf_algebra label "جبر هوبف".
- Hopf_algebra label "霍普夫代數".
- Hopf_algebra sameAs Hopf-Algebra.
- Hopf_algebra sameAs Algèbre_de_Hopf.
- Hopf_algebra sameAs 호프_대수.
- Hopf_algebra sameAs Hopf-algebra.
- Hopf_algebra sameAs Álgebra_de_Hopf.
- Hopf_algebra sameAs m.01w332.
- Hopf_algebra sameAs Q1627597.
- Hopf_algebra sameAs Q1627597.
- Hopf_algebra sameAs Hopf_algebra.
- Hopf_algebra wasDerivedFrom Hopf_algebra?oldid=606355868.
- Hopf_algebra depiction Hopf_algebra.svg.
- Hopf_algebra isPrimaryTopicOf Hopf_algebra.
