Grafting algebras.

DOI10.1016/J.BULSCI.2012.03.009zbMath1287.16030OpenAlexW1617123879MaRDI QIDQ695687

Anthony Mansuy

Publication date: 14 December 2012

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2012.03.009

zbMATH Keywords

dendriform algebrasrooted treescombinatorial Hopf algebrasduplicial algebrasConnes-Kreimer Hopf algebrabigrafting algebrasHopf algebras of ordered forests

Mathematics Subject Classification ID

Trees (05C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

Related Items (3)

Mould calculus, polyhedral cones, and characters of combinatorial Hopf algebras. ⋮ On the operad of bigraft algebras. ⋮ Structure theorems for dendriform and tridendriform algebras

Uses Software

• OEIS

Cites Work

• The Hopf algebras of decorated rooted trees. II
• Bidendriform bialgebras, trees, and free quasi-symmetric functions.
• Hopf algebras, renormalization and noncommutative geometry
• Comparison of Hopf algebras on trees.
• The Hopf algebras of decorated rooted trees. I
• Ordered Forests and Parking Functions
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