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arXiv · 1503.02783

Weighted Tensor Products of Joyal Species, Graphs, and Charades

Ross Street
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Abstract

Motivated by the weighted Hurwitz product on sequences in an algebra, we produce a family of monoidal structures on the category of Joyal species. We suggest a family of tensor products for charades. We begin by seeing weighted derivational algebras and weighted Rota-Baxter algebras as special monoids and special semigroups, respectively, for the same monoidal structure on the category of graphs in a monoidal additive category. Weighted derivations are lifted to the categorical level.

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Ross Street. 2015-03-10. Weighted Tensor Products of Joyal Species, Graphs, and Charades. https://doi.org/10.3842/sigma.2016.005

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