The shuffle algebra on the factors of a word is free

DOI10.1016/0097-3165(85)90020-2zbMath0565.68074OpenAlexW2007543059MaRDI QIDQ1058862

Christophe Reutenauer

Publication date: 1985

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(85)90020-2

zbMATH Keywords

Lie algebrashuffle algebrafree commutative polynomial algebra

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Free semigroups, generators and relations, word problems (20M05) Semigroups in automata theory, linguistics, etc. (20M35)

Related Items (4)

Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems ⋮ Continuity in a pathwise sense with respect to the coefficients of solutions of stochastic differential equations ⋮ On the support of graph Lie algebras ⋮ ON A PROPERTY OF THE FACTORIZING CODES

Cites Work

• Lie elements and an algebra associated with shuffles
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