**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.

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