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A category of quantum categories
Theory and applications of categories, Tome 25 (2011), pp. 1-37

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

Quantum categories were introduced by Day and Street as generalizations of both bi(co)algebroids and small categories. We clarify details of that work. In particular, we show explicitly how the monadic definition of a quantum category unpacks to a set of axioms close to the definitions of a bialgebroid in the Hopf algebraic literature. We introduce notions of functor and natural transformation for quantum categories and consider various constructions on quantum structures.

Publié le :
Classification : 18D35
Keywords: quantum category, monoidal category, comonad 
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     author = {Dimitri Chikhladze},
     title = {A category of quantum categories},
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     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2011_25_a0/}
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Dimitri Chikhladze. A category of quantum categories. Theory and applications of categories, Tome 25 (2011), pp. 1-37. http://geodesic.mathdoc.fr/item/TAC_2011_25_a0/