Natural endomorphisms of quasi-shuffle Hopf algebras

DOI10.24033/bsmf.2644zbMath1266.05175arXiv1101.0725OpenAlexW2964105773MaRDI QIDQ4921421

Jean-Yves Thibon, Jean-Christophe Novelli, Frédéric Patras

Publication date: 10 May 2013

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0725

zbMATH Keywords

convolutionHopf algebraAdams operationmultiple zeta valuesAdams operationsfine structureinternal productnoncommutative symmetric functionsquasi-shuffle algebrassurjectionconvolution algebraEulerian idempotentEulerian idempotentslinear endomorphismsquasi-shufflenoncommutative generalizationcanonical left-inversefree polynomial generatorsnatural surjection mapquasi-shuffle Hopf algebrasword quasi-symmetric functionword-quasi-symmetric functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Automorphisms and endomorphisms (16W20)

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