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