Weighted Tensor Products of Joyal Species, Graphs, and Charades

Symmetry Integrability and Geometry-Methods and Applications

article

Ross Street¹ 

[1] Centre of Australian Category Theory, Macquarie University

关键词: weighted derivation;    Hurwitz series;    monoidal category;    Joyal species;    convolution;    Rota–Baxter operator;   

DOI  :  10.3842/SIGMA.2016.005

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown