Distributive laws for actions of monoidal categories
Category Theory
2007-05-23 v2 Quantum Algebra
Abstract
Given a monoidal category C, an ordinary category M, and a monad T in M, the lifts in a strict sense of a fixed action of C on M to an action of C on the Eilenberg-Moore category of T-modules in M are in a bijective correspondence with certain families of natural transformations, indexed by the objects in the monoidal category C. These families are analogues of distributive laws between monads.
Cite
@article{arxiv.math/0406310,
title = {Distributive laws for actions of monoidal categories},
author = {Zoran Skoda},
journal= {arXiv preprint arXiv:math/0406310},
year = {2007}
}
Comments
13 pages