The Hopf algebras of decorated rooted trees. I

DOI10.1016/S0007-4497(02)01108-9zbMath1013.16026OpenAlexW2049664456MaRDI QIDQ1599930

Loïc Foissy

Publication date: 7 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0007-4497(02)01108-9

zbMATH Keywords

Hopf algebrascoalgebrasfree algebrascomultiplicationsdecorated rooted trees

Mathematics Subject Classification ID

Related Items (71)

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Cites Work

• Hopf-algebraic structure of families of trees
• Hopf-algebraic structure of combinatorial objects and differential operators
• Hopf algebra of the planar binary trees
• Hopf algebras, renormalization and noncommutative geometry
• On overlapping divergences
• Finite dimensional comodules over the Hopf algebra of rooted trees
• On the structure of Hopf algebras
• A Milnor–Moore theorem for dendriform Hopf algebras
• Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees
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