Bidendriform bialgebras, trees, and free quasi-symmetric functions.

DOI10.1016/j.jpaa.2006.06.005zbMath1123.16030arXivmath/0505207OpenAlexW1990056107MaRDI QIDQ869217

Loïc Foissy

Publication date: 26 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505207

zbMATH Keywords

augmentation idealsgraded Hopf algebrasplanar rooted treesMalvenuto-Reutenauer Hopf algebrasbidendriform bialgebrasdendriform coalgebrasfree quasi-symmetric functions

Mathematics Subject Classification ID

Trees (05C05) Symmetric functions and generalizations (05E05) Nonassociative algebras satisfying other identities (17A30)

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