Hopf categories associated to comonoidal functors
arXiv:2506.22872
Abstract
We provide an explicit construction of Hopf categories associated to comonoidal functors, generalizing Ševera's construction of Hopf monoids through M-adapted functors. We discuss the example of the Hopf category whose underlying class is the set of twists of a Lie bialgebra. Finally, we apply the result to the setting of deformed categories.
arXiv comment16 pages