On quasi-monoidal comonads and their corepresentations

Abstract

In this paper, we define and study quasi-monoidal comonads on a monoidal category. It generalize the (Hom type) coquasi-bialgebras to a non-braided setting. We investigate their corepresentations and their coquasitriangular structures. We also discuss their gauge equivalence relations.

Keywords

• quasi-monoidal comonads
• coquasitriangular structures
• gauge transformations
• monoidal categories