A category of quantum categories

Details A category of quantum categories A category of quantum categories

2009-10-03

arxiv.org/abs/0910.0512v3

Mathematics

Category Theory

Revised and expanded. A lot of diagrams. 40 pages

Scientific paper

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.

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