Abstract
We develop the theory of weak bimonoids in braided monoidal categories and show that they are in one-to-one correspondence with quantum categories with a separable Frobenius object-of-objects. Weak Hopf monoids are shown to be quantum groupoids. Each separable Frobenius monoid R leads to a weak Hopf monoid ⊗R.
| Original language | English |
|---|---|
| Pages (from-to) | 149-207 |
| Number of pages | 59 |
| Journal | Algebra and Number Theory |
| Volume | 3 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2009 |