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bn:02611403n
Noun Concept
Categories: Representation theory, Monoidal categories, Hopf algebras
EN
Hopf algebra  antipode  Greither order  Hopf algebras  Hopf order
EN
In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously an algebra and a coalgebra, with these structures' compatibility making it a bialgebra, and that moreover is equipped with an antiautomorphism satisfying a certain property. Wikipedia
Definitions
Relations
Sources
EN
In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously an algebra and a coalgebra, with these structures' compatibility making it a bialgebra, and that moreover is equipped with an antiautomorphism satisfying a certain property. Wikipedia
Bialgebra that admits an antipode Wikidata
A structure that is simultaneously a unital associative algebra and a counital coassociative coalgebra, equipped with an antiautomorphism satisfying a certain property. Wiktionary
IS A
bialgebra
weak Hopf algebra
quasi-Hopf algebra
HAS KIND
Steenrod algebra
quantum affine algebra
quantum group
universal enveloping algebra
tensor algebra
+4 relations
HAS INSTANCE
K-Poincaré algebra
shuffle algebra
Sweedler's Hopf algebra
NAMED AFTER
Heinz Hopf
STUDIED BY
abstract algebra
Wikipedia
EN
Hopf algebra
Wikidata
EN
Hopf algebra
Wiktionary
EN
Hopf algebra
Wikipedia Redirections
EN
antipode (algebra), Greither order, Hopf algebras, Hopf order, Nichols-Zoeller freeness theorem, Nichols–Zoeller freeness theorem

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