Infinitesimal unitary Hopf algebras and planar rooted forests

DOI10.1007/s10801-018-0830-6zbMath1437.16030arXiv1810.05314OpenAlexW3102642737WikidataQ129617343 ScholiaQ129617343MaRDI QIDQ2313414

Xing Gao, Xiaomeng Wang

Publication date: 19 July 2019

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05314

zbMATH Keywords

infinitesimal bialgebracocycle conditiondecorated planar rooted treesinfinitesimal Hopf algebra

Mathematics Subject Classification ID

Trees (05C05) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

Related Items (6)

Dendriform-Nijenhuis bialgebras and DN-associative Yang-Baxter equations ⋮ Locality and renormalization: Universal properties and integrals on trees ⋮ Left counital Hopf algebras on bi-decorated planar rooted forests and Rota-Baxter systems ⋮ Unnamed Item ⋮ A Hopf algebra on subgraphs of a graph ⋮ Weighted infinitesimal unitary bialgebras on rooted forests and weighted cocycles

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