## Balanced Coalgebroids (2000)

Citations: | 2 - 0 self |

### BibTeX

@MISC{McCrudden00balancedcoalgebroids,

author = {Paddy McCrudden},

title = {Balanced Coalgebroids},

year = {2000}

}

### OpenURL

### Abstract

A balanced coalgebroid is a V op -category with extra structure ensuring that its category of representations is a balanced monoidal category. We show, in a sense to be made precise, that a balanced structure on a coalgebroid may be reconstructed from the corresponding structure on its category of representations. This includes the reconstruction of dual quasi-bialgebras, quasi-triangular dual quasi-bialgebras, and balanced quasi-triangular dual quasi-bialgebras; the latter of which is a quantum group when equipped with a compatible antipode. As an application we construct a balanced coalgebroid whose category of representations is equivalent to the symmetric monoidal category of chain complexes. The appendix provides the definitions of a braided monoidal bicategory and sylleptic monoidal bicategory.