On the operad of bigraft algebras.

DOI10.1007/S10801-014-0498-5zbMath1309.16022OpenAlexW2006583360MaRDI QIDQ478359

Anthony Mansuy

Publication date: 3 December 2014

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

Full work available at URL: https://doi.org/10.1007/s10801-014-0498-5

zbMATH Keywords

infinitesimal bialgebrasplanar rooted treesbigraft algebrasKoszul quadratic operads

Mathematics Subject Classification ID

Trees (05C05) Bialgebras (16T10) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

Uses Software

• OEIS
• operads

Cites Work

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• Grafting algebras.
• Gröbner bases for operads
• Hopf algebras, renormalization and noncommutative geometry
• Koszul duality for operads
• Comparison of Hopf algebras on trees.
• The Hopf algebras of decorated rooted trees. I
• A Poincaré-Birkhoff-Witt criterion for Koszul operads
• L-Algebras, Triplicial-Algebras, within an Equivalence of Categories Motivated by Graphs
• On the structure of cofree Hopf algebras
• The Infinitesimal Hopf Algebra and the Operads of Planar Forests
• Algebraic Operads

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