Combinatorics and Algebra of Tensor Calculus

Small book cover: Combinatorics and Algebra of Tensor Calculus

Combinatorics and Algebra of Tensor Calculus

Publisher: arXiv
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.

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