New identities in dendriform algebras

DOI10.1016/j.jalgebra.2007.12.013zbMath1153.17003arXiv0705.2636OpenAlexW2949208220MaRDI QIDQ947492

Frédéric Patras, Kurusch Ebrahimi-Fard, Dominique Manchon

Publication date: 6 October 2008

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

Full work available at URL: https://arxiv.org/abs/0705.2636

zbMATH Keywords

free Lie algebraHopf algebraMagnus expansionLyndon wordsdendriform algebradescent algebrapre-Lie algebraRota-Baxter algebraMalventuo-Reutenauer algebra

Mathematics Subject Classification ID

Related Items (19)

Octo-bialgebras ⋮ Pluriassociative algebras. II: The polydendriform operad and related operads. ⋮ Cohomology and deformations of dendriform algebras, and Dend_∞-algebras ⋮ Solutions of associative Yang–Baxter equation and D−equation in low dimensions and associated Frobenius algebras and Connes cocycles ⋮ On a ternary operad connected to the Tamari lattice ⋮ Rota-Baxter algebras and dendriform algebras. ⋮ Shuffle-compatible permutation statistics. II: The exterior peak set ⋮ Rota–Baxter Hom-Lie–Admissible Algebras ⋮ Some results on L-dendriform algebras ⋮ Dendriform equations ⋮ Hopf Algebras in Renormalisation ⋮ Free (tri)dendriform family algebras ⋮ Free Rota-Baxter family algebras and (tri)dendriform family algebras ⋮ A one-parameter family of dendriform identities. ⋮ A Magnus- and Fer-type formula in dendriform algebras. ⋮ Rota-Baxter operators on pre-Lie superalgebras ⋮ Shuffle quadri-algebras and concatenation ⋮ NATURAL ENDOMORPHISMS OF SHUFFLE ALGEBRAS ⋮ Bihom-pre-Lie superalgebras and related structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The algebra of binary search trees
• On Dynkin and Klyachko idempotents in graded bialgebras
• Lie elements and an algebra associated with shuffles
• Bidendriform bialgebras, trees, and free quasi-symmetric functions.
• A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov's recursion
• The descent algebra of a graded bialgebra
• Noncommutative symmetric functions
• Eulerian idempotents and Milnor-Moore theorem for certain non-cocommutative Hopf algebras
• Loday-type algebras and the Rota-Baxter relation
• Duality between quasi-symmetric functions and the Solomon descent algebra
• A Lie theoretic approach to renormalization
• On the structure of Hopf algebras
• Rota-Baxter algebras and new combinatorial identities
• Lyndon Words, Free Algebras and Shuffles
• Decomposition of time-ordered products and path-ordered exponentials
• Baxter algebras and combinatorial identities. I
• On the exponential solution of differential equations for a linear operator
• Pre-Poisson algebras
• On the associative analog of Lie bialgebras
• A Cartier-Milnor-Moore-Quillen theorem for the dendriform bigebras and the brace algebras

This page was built for publication: New identities in dendriform algebras