A category of quantum categories
Category Theory
2015-03-13 v3 Quantum Algebra
Abstract
Quantum categories were introduced in [4] as generalizations of both bi(co)algebroids and small categories. We clarify details of that work. In particular, we show explicitly how the monadic definition of a quantum category unpacks to a set of axioms close to the definitions of a bialgebroid in the Hopf algebraic literature. We define notions of functor and natural transformation for quantum categories.
Cite
@article{arxiv.0910.0512,
title = {A category of quantum categories},
author = {Dimitri Chikhladze},
journal= {arXiv preprint arXiv:0910.0512},
year = {2015}
}
Comments
Revised and expanded. A lot of diagrams. 40 pages