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

Combinatorics and Algebra of Tensor Calculus

Combinatorics and Algebra of Tensor Calculus by Sen Hu, Xuexing Lu, Yu Ye
Combinatorics and Algebra of Tensor Calculus by Sen Hu, Xuexing Lu, Yu Ye
Publisher: arXiv 2015
Number of pages: 88
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.
Mathematics Category Theory
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