On a conjecture by Pierre Cartier about a group of associators

DOI10.1007/s40306-013-0024-1zbMath1283.11122OpenAlexW2097553307WikidataQ123308365 ScholiaQ123308365MaRDI QIDQ384109

Mohammad Hasan, H. S. Yoon

Publication date: 26 November 2013

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-013-0024-1

zbMATH Keywords

polylogarithmregularizationfree Lie algebrarenormalizationspecial functionsnonlinear dynamical systemscombinatorial Hopf algebraalgebraic computationDrinfel'd associatorsnoncommutative symbolic computationpolyzêtatranscendence basis

Mathematics Subject Classification ID

Related Items (10)

Structure of polyzetas and explicit representation on transcendence bases of shuffle and stuffle algebras ⋮ Harmonic sums and polylogarithms at non-positive multi-indices ⋮ Dual bases for noncommutative symmetric and quasi-symmetric functions via monoidal factorization ⋮ Mathematical Renormalization in Quantum Electrodynamics via Noncommutative Generating Series ⋮ (Pure) transcendence bases in \(\varphi\)-deformed shuffle bialgebras ⋮ Structure of polyzetas and Lyndon words ⋮ On the solutions of the universal differential equation with three regular singularities (on solutions of \(KZ_3)\) ⋮ Kleene stars of the plane, polylogarithms and symmetries ⋮ Harmonic sums and polylogarithms at negative multi-indices ⋮ Computation tool for the q -deformed quasi-shuffle algebras and representations of structure of MZVs

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