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arXiv · 1501.01790

Combinatorics and algebra of tensor calculus

Sen Hu·Xuexing Lu·Yu Ye
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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.

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Sen Hu, Xuexing Lu, Yu Ye. 2015-01-08. Combinatorics and algebra of tensor calculus. https://arxiv.org/abs/1501.01790

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