Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 554-563 |
| Number of pages | 10 |
| Journal | Theory and Applications of Categories |
| Volume | 24 |
| Publication status | Published - 2010 |
Bibliographical note
Copyright the Author(s) [2010]. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.Keywords
- quantum category
- monoidal comonad
- monoidal bicategory
- quantum groupoid
- bialgebroid
- Hopf monoid
- closed category
- pseudomonoid