Structure of the Loday-Ronco Hopf algebra of trees.

DOI10.1016/j.jalgebra.2005.06.021zbMath1099.16015arXivmath/0409022OpenAlexW2039856880MaRDI QIDQ2368730

Marcelo Aguiar, Frank J. Sottile

Publication date: 28 April 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409022

zbMATH Keywords

graded coalgebrasrooted treesgraded Hopf algebrasquasi-symmetric functionsnon-commutative symmetric functionsplanar binary trees

Mathematics Subject Classification ID

Trees (05C05) Symmetric functions and generalizations (05E05) Graded rings and modules (associative rings and algebras) (16W50) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

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