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Combinatorics and algebra of tensor calculus
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math.CT
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tensorcalculusnaturealgebraalgebraiccategoriescharacterizescoarse-graining
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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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