Combinatorics and algebra of tensor calculus
Category Theory
2015-01-09 v1
Abstract
In this paper, motivated by the theory of operads and PROPs we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad which is described by the coarse-graining of graphs and characterizes the algebraic nature of tensor calculus.
Keywords
Cite
@article{arxiv.1501.01790,
title = {Combinatorics and algebra of tensor calculus},
author = {Sen Hu and Xuexing Lu and Yu Ye},
journal= {arXiv preprint arXiv:1501.01790},
year = {2015}
}
Comments
88 pages