Hopf algebra
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.
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Hopf algebra
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.
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Pour les articles homonymes, ...... la géométrie non commutative.
@fr
25بك المحتوى هنا ينقصه الاستشه ...... أو مشكلات التصنيف من جهة أخرى.
@ar
Eine Hopf-Algebra – benannt na ...... edler – geschrieben heißt das:
@de
Em matemática, uma álgebra de ...... em problemas de classificação.
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In de abstracte algebra, een d ...... eproblemen aan de andere kant.
@nl
In mathematics, a Hopf algebra ...... with generators of odd degree.
@en
Алгебра Хопфа — ассоциативная ...... фа и проблем их классификации.
@ru
在數學中，霍普夫代數是一類雙代數，亦即具有相容的結合代數與餘 ...... 名，此類結構廣見於代數拓撲、群概形、群論、量子群等數學領域。
@zh
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Pour les articles homonymes, ...... la géométrie non commutative.
@fr
25بك المحتوى هنا ينقصه الاستشه ...... رة في الجبر الثنائي bialgebra.
@ar
Eine Hopf-Algebra – benannt na ...... edler – geschrieben heißt das:
@de
Em matemática, uma álgebra de ...... estas estruturas compatíveis.
@pt
In de abstracte algebra, een d ...... t aan een bepaalde eigenschap.
@nl
In mathematics, a Hopf algebra ...... ons, and dual representations.
@en
Алгебра Хопфа — ассоциативная ...... ида. Названа в честь Х. Хопфа.
@ru
在數學中，霍普夫代數是一類雙代數，亦即具有相容的結合代數與餘 ...... 名，此類結構廣見於代數拓撲、群概形、群論、量子群等數學領域。
@zh
label
Algèbre de Hopf
@fr
Hopf algebra
@en
Hopf-Algebra
@de
Hopf-algebra
@nl
Álgebra de Hopf
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Алгебра Хопфа
@ru
جبر هوبف
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霍普夫代數
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