A comodule-bialgebra structure for word-series substitution and mould composition
DOI10.1016/j.jalgebra.2017.07.002zbMath1385.16030arXiv1609.03549OpenAlexW2520601526MaRDI QIDQ1682060
Frédéric Fauvet, Kurusch Ebrahimi-Fard, Dominique Manchon
Publication date: 28 November 2017
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.03549
Hopf algebrarooted treesword seriesbialgebrasurjectionsmould calculusquasi-shuffle productarborificationB- and S-seriescomodule-Hopf algebraweak quasi-shuffle
Bialgebras (16T10) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15) Connections of Hopf algebras with combinatorics (16T30)
Related Items (6)
Cites Work
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- On bialgebras and Hopf algebras of oriented graphs.
- Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series.
- The Hopf algebras of decorated rooted trees. II
- Mould calculus
- Hopf-algebraic structure of families of trees
- The Hopf algebra of rooted trees, free Lie algebras, and Lie series
- Singularities that are inaccessible by geometry
- Semi-direct products of Hopf algebras
- Hopf algebras, renormalization and noncommutative geometry
- Semigroups, rings, and Markov chains
- On the Lie enveloping algebra of a pre-Lie algebra.
- Quasi-shuffle products
- Word series for dynamical systems and their numerical integrators
- An example of local analytic \(q\)-difference equation: analytic classification
- The arborification-coarborification transform: analytic, combinatorial, and algebraic aspects
- Ecalle's arborification-coarborification transforms and Connes-Kreimer Hopf algebra
- Monoidal Functors, Species and Hopf Algebras
- The tame Butcher group
- On the Lie enveloping algebra of a pre-Lie algebra
- Numerical integrators based on modified differential equations
- THE HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND QUASI-SYMMETRIC FUNCTIONS IN NON-COMMUTATIVE VARIABLES ARE FREE AND CO-FREE
- Noncommutative Symmetric Functions II: Transformations of Alphabets
- Natural endomorphisms of quasi-shuffle Hopf algebras
- An Algebraic Theory of Integration Methods
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