Dendriform equations

DOI10.1016/j.jalgebra.2009.06.002zbMath1229.17001arXiv0805.0762OpenAlexW3037727947MaRDI QIDQ2267454

Dominique Manchon, Kurusch Ebrahimi-Fard

Publication date: 1 March 2010

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

Full work available at URL: https://arxiv.org/abs/0805.0762

zbMATH Keywords

linear integral equationHopf algebraRiccati equationlinear differential equationMagnus expansionFer expansiondendriform algebrapre-Lie algebraRota-Baxter algebraplanar rooted treesLie bracket flow

Mathematics Subject Classification ID

Trees (05C05) Linear ordinary differential equations and systems (34A30) Linear integral equations (45A05) Nonassociative algebras satisfying other identities (17A30) Hopf algebras and their applications (16T05)

Related Items (22)

Pluriassociative algebras. II: The polydendriform operad and related operads. ⋮ Rota-Baxter systems, dendriform algebras and covariant bialgebras ⋮ The tridendriform structure of a discrete Magnus expansion ⋮ Cumulant-cumulant relations in free probability theory from Magnus' expansion ⋮ The Magnus expansion, trees and Knuth's rotation correspondence ⋮ Inhomogeneous Spitzer-type identities for commutative and non-commutative Rota–Baxter algebras ⋮ Time-ordering and a generalized Magnus expansion ⋮ Infinitesimal and \(B_{\infty}\)-algebras, finite spaces, and quasi-symmetric functions ⋮ Monotone, free, and Boolean cumulants: a shuffle algebra approach ⋮ Twisted dendriform algebras and the pre-Lie Magnus expansion ⋮ On a ternary operad connected to the Tamari lattice ⋮ Relations between infinitesimal non-commutative cumulants ⋮ Evaluating Generating Functions for Periodic Multiple Polylogarithms via Rational Chen–Fliess Series ⋮ Generating \(q\)-commutator identities and the \(q\)-BCH formula ⋮ Rota–Baxter Hom-Lie–Admissible Algebras ⋮ Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series. ⋮ On an extension of Knuth's rotation correspondence to reduced planar trees ⋮ Rota-Baxter operators on pre-Lie superalgebras ⋮ Shuffle quadri-algebras and concatenation ⋮ A group-theoretical approach to conditionally free cumulants ⋮ NATURAL ENDOMORPHISMS OF SHUFFLE ALGEBRAS ⋮ The \(q\)-deformed Campbell-Baker-Hausdorff-Dynkin theorem

Uses Software

• OEIS

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