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Combinatorics and algebra of tensor calculus

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Author: Sen Hu, Xuexing Lu, Yu Ye
Url: http://arxiv.org/abs/1501.01790v1
Format: Ps, Pdf
Year: 2015
Category: Calculus
Pages: 118
Clicks: 157

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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