The mechanics of shuffle products and their siblings

DOI10.1016/j.disc.2017.03.004zbMath1365.05298arXiv1512.01637OpenAlexW2963234388MaRDI QIDQ2359971

Jean-Yves Enjalbert, Gérard H. E. Duchamp, Vincel Hoang Ngoc Minh, Christophe Tollu

Publication date: 23 June 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01637

zbMATH Keywords

Hopf algebracomultiplicationcombinatorics of \(\varphi\)-shuffle productspolyzetas functions

Mathematics Subject Classification ID

Related Items (1)

On the solutions of the universal differential equation with three regular singularities (on solutions of \(KZ_3)\)

Cites Work

• Deformations of algebras: twisting and perturbations
• Combinatorial properties and effective analytic continuation of Hurwitz polyzetas and their analogous
• Lie elements and an algebra associated with shuffles
• Analytic and combinatoric aspects of Hurwitz polyzetas
• A natural ring basis for the shuffle algebra and an application to group schemes
• The algebra of multiple harmonic series
• Combinatorial study of colored Hurwitz polyzêtas.
• A generic Hopf algebra for quantum statistical mechanics
• Iterated path integrals
• Free differential calculus. IV: The quotient groups of the lower central series
• From the algebras of Riemann polyzetas to the algebra of Hurwitz polyzetas
• Direct and dual laws for automata with multiplicities
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