Concept information
Preferred term
Hopf algebra
Definition(s)
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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.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hopf_algebra)
Broader concept(s)
Narrower concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-PWGX16JX-6
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