Diagrammatics for Comodule Monads
Category Theory
2024-08-30 v2 Quantum Algebra
Abstract
We extend Willerton's graphical calculus for bimonads to comodule monads, a monadic interpretation of module categories over a monoidal category. As an application, we prove a version of Tannaka--Krein duality for these structures.
Cite
@article{arxiv.2312.13074,
title = {Diagrammatics for Comodule Monads},
author = {Sebastian Halbig and Tony Zorman},
journal= {arXiv preprint arXiv:2312.13074},
year = {2024}
}
Comments
15 pages, 35 figures; expanded standalone version of section 5 of arXiv:2201.05361v1