Weighted Tensor Products of Joyal Species, Graphs, and Charades

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Author: Street, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147417
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Weighted Tensor Products of Joyal Species, Graphs, and Charades / R. Street // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 23 назв. — англ.

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 monoi...