Geodesic
Hopf monoidal comonads
Theory and applications of categories, Tome 24 (2010), pp. 554-563

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

We generalize to the context internal to an autonomous monoidal bicategory the work of Bruguieres, Virelizier, and the second-named author on lifting closed structure on a monoidal category to the category of Eilenberg-Moore algebras for an opmonoidal monad. The result then applies to quantum categories and bialgebroids.

Classification : 18D10
Keywords: quantum category, monoidal comonad, monoidal bicategory, quantum groupoid, bialgebroid, Hopf monoid, closed category, pseudomonoid 
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     author = {Dimitri Chikhladze and Stephen Lack and Ross Street},
     title = {Hopf monoidal comonads},
     journal = {Theory and applications of categories},
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     publisher = {mathdoc},
     volume = {24},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2010_24_a18/}
}
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Dimitri Chikhladze; Stephen Lack; Ross Street. Hopf monoidal comonads. Theory and applications of categories, Tome 24 (2010), pp. 554-563. http://geodesic.mathdoc.fr/item/TAC_2010_24_a18/