Finite matrices are complete for (dagger-)hypergraph categories
Category Theory
2015-08-20 v2
Abstract
Hypergraph categories are symmetric monoidal categories where each object is equipped with a special commutative Frobenius algebra (SCFA). Dagger-hypergraph categories are the same, but with dagger-symmetric monoidal categories and dagger-SCFAs. In this paper, we show that finite matrices over a field K of characteristic 0 are complete for hypergraph categories, and that finite matrices where K has a non-trivial involution are complete for dagger-hypergraph categories.
Cite
@article{arxiv.1406.5942,
title = {Finite matrices are complete for (dagger-)hypergraph categories},
author = {Aleks Kissinger},
journal= {arXiv preprint arXiv:1406.5942},
year = {2015}
}
Comments
15 pages, pre-print