Tridendriform Structures

Inspired by the work of J-L. Loday and M. Ronco, we build free tridendriform algebras over reduced trees, and we show that they have a coproduct satisfying some compatibilities with the tridendriform products. Its graded dual is the opposite bialgebra of TSym introduced by N. Bergeron et al., which...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
Main Author: Catoire, Pierre
Format: Article
Language:English
Published: Інститут математики НАН України 2023
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212018
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Tridendriform Structures. Pierre Catoire. SIGMA 19 (2023), 066, 36 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine