Abstract
Quantum categories were introduced in [5] 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-37 |
| Number of pages | 37 |
| Journal | Theory and Applications of Categories |
| Volume | 25 |
| Issue number | 1 |
| Publication status | Published - 2011 |
Bibliographical note
Copyright the Author(s) [2011]. 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
- Comonad
- Monoidal category
- Quantum category