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Hopf algebra (Definition)

"Hopf algebra" is owned by mhale.
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See Also: groupoid and group representations related to quantum symmetries, quantum groups, quantum groupoids, weak Hopf C*-algebra, weak Hopf algebra, finite quantum group

Also defines:  antipode

Attachments:
nichols-zoeller theorem (Theorem) by joking
grouplike elements in Hopf algebras (Definition) by joking
example of algebras and coalgebras which cannot be turned into Hopf algebras (Example) by joking
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Cross-references: universal enveloping algebra, Lie algebra, polynomial functions, Lie group, bilinear form, group algebra, complex, counit, comultiplication, finite group, functions, algebras, object, group, structure, coalgebra, natural transformations, algebra, opposite, group scheme of multiplicative units, prime spectrum, group schemes, Hopf algebras, commutative, category, commutative diagram, unit, multiplication, map, field, bialgebra
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This is version 9 of Hopf algebra, born on 2002-10-18, modified 2005-07-12.
Object id is 3524, canonical name is HopfAlgebra.
Accessed 10969 times total.

Classification:
AMS MSC16W30 (Associative rings and algebras :: Rings and algebras with additional structure :: Coalgebras, bialgebras, Hopf algebras ; rings, modules, etc. on which these act)

Pending Errata and Addenda
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