Weighted tensor products of joyal species, graphs, and charades

Ross Street*

*Corresponding author for this work

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    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.

    Original languageEnglish
    Article number005
    Pages (from-to)1-20
    Number of pages20
    JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
    Volume12
    DOIs
    Publication statusPublished - 17 Jan 2016

    Keywords

    • weighted derivation
    • Hurwitz series
    • monoidal category
    • Joyal species
    • convolution
    • Rota-Baxter operator

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