Hopf categories associated to comonoidal functors
Category Theory
2025-07-01 v1 Quantum Algebra
Abstract
We provide an explicit construction of Hopf categories associated to comonoidal functors, generalizing \v{S}evera'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.
Cite
@article{arxiv.2506.22872,
title = {Hopf categories associated to comonoidal functors},
author = {Andrea Rivezzi},
journal= {arXiv preprint arXiv:2506.22872},
year = {2025}
}
Comments
16 pages