Combinatorics and Algebra of Tensor Calculus

Combinatorics and Algebra of Tensor Calculus
by Sen Hu, Xuexing Lu, Yu Ye

Publisher: arXiv 2015
Number of pages: 88

Description:
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.