Comparison of Hopf algebras on trees.

From MaRDI portal
Publication:1401626

DOI10.1007/s00013-003-0796-yzbMath1056.16030OpenAlexW1571192943MaRDI QIDQ1401626

Ralf Holtkamp

Publication date: 18 August 2003

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-003-0796-y



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (44)

Non-commutative Hopf algebra of formal diffeomorphisms.Hopf algebras on planar trees and permutationsCoherent unit actions on braided operads and Hopf algebrasStructure of the Loday-Ronco Hopf algebra of trees.Hopf algebra structure on free Rota-Baxter algebras by angularly decorated rooted treesCoalgebras of words and phrases.Graphons and renormalization of large Feynman diagramsHopf algebra of multidecorated rooted forests, free matching Rota-Baxter algebras and Gröbner-Shirshov basesBidendriform bialgebras, trees, and free quasi-symmetric functions.Matula numbers, Gödel numbering and Fock spaceDendriform-Nijenhuis bialgebras and DN-associative Yang-Baxter equationsPlane posets, special posets, and permutationsHopf algebras of planar binary trees: an operated algebra approachPreordered forests, packed words and contraction algebrasAlgebraic structures on double and plane posetsThe normal distribution is \(\boxplus\)-infinitely divisibleQED Hopf algebras on planar binary trees.Solutions of associative Yang–Baxter equation and D−equation in low dimensions and associated Frobenius algebras and Connes cocyclesLeft counital Hopf algebras on bi-decorated planar rooted forests and Rota-Baxter systemsUnnamed ItemFREE ROTA–BAXTER ALGEBRAS AND ROOTED TREESBruhat order on plane posets and applicationsFree and cofree Hopf algebras.On the operad of bigraft algebras.𝒪-Operators of Loday Algebras and Analogues of the Classical Yang–Baxter EquationThe Hopf algebra of diagonal rectangulations.Rota-Baxter algebras and dendriform algebras.Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations.Grafting algebras.On products and duality of binary, quadratic, regular operadsThe Hopf algebras of decorated rooted trees. IICocommutative Hopf algebras of permutations and trees.Gröbner–Shirshov bases for brace algebrasHopf algebra structure of generalized quasi-symmetric functions in partially commutative variablesWeighted infinitesimal unitary bialgebras of rooted forests, symmetric cocycles and pre-Lie algebrasBraided dendriform and tridendriform algebras, and braided Hopf algebras of rooted treesOn the structure of cofree Hopf algebrasOn an extension of Knuth's rotation correspondence to reduced planar treesFree nonunitary Rota-Baxter family algebras and typed leaf-spaced decorated planar rooted forestsWeighted infinitesimal unitary bialgebras on rooted forests and weighted cocyclesCoassociative magmatic bialgebras and the Fine numbers.Infinitesimal unitary Hopf algebras and planar rooted forestsHopf algebras of rooted forests, cocyles, and free Rota-Baxter algebrasThe infinitesimal Hopf algebra and the poset of planar forests.




This page was built for publication: Comparison of Hopf algebras on trees.