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.
Keywords: quantum category; monoidal comonad; monoidal bicategory; quantum groupoid; bialgebroid; Hopf monoid; closed category; pseudomonoid
2000 MSC: 18D10
Theory and Applications of Categories,
Vol. 24, 2010,
No. 19, pp 554-563.
http://www.tac.mta.ca/tac/volumes/24/19/24-19.dvi
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