Generalized overlapping shuffle algebras.

DOI10.1023/A:1011386821910zbMath1168.16306OpenAlexW2052682422MaRDI QIDQ835317

Michiel Hazewinkel

Publication date: 28 August 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011386821910

zbMATH Keywords

free associative algebrasDitters conjectureLeibniz-Hopf algebrasgraded dualsoverlapping shuffle algebras

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (12)

Time-warping invariants of multidimensional time series ⋮ The mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebra ⋮ Conjugation invariants in the Leibniz-Hopf algebra. ⋮ Rota-Baxter algebras and left weak composition quasi-symmetric functions ⋮ FREE ROTA–BAXTER ALGEBRAS AND ROOTED TREES ⋮ Weak quasi-symmetric functions, Rota-Baxter algebras and Hopf algebras ⋮ Categorification and Heisenberg doubles arising from towers of algebras ⋮ Renormalization of multiple zeta values ⋮ Generating functions from the viewpoint of Rota-Baxter algebras ⋮ Cocommutative Hopf algebras of permutations and trees. ⋮ Structure Theorems of Mixable Shuffle Algebras ⋮ On the \(\mathrm{mod}p\) Steenrod algebra and the Leibniz-Hopf algebra

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