The shuffle algebra and its derivations

DOI10.1016/0304-3975(93)90124-CzbMath0799.17004MaRDI QIDQ1261473

Yuji Kobayashi, Masashi Katsura

Publication date: 22 November 1994

Published in: Theoretical Computer Science (Search for Journal in Brave)

zbMATH Keywords

free algebraderivationsshuffle productpartially commutative formal power seriespartially commutative polynomialspartially commutative shuffle algebratheorem of Ree

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Free nonassociative algebras (17A50)

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Extension of Brzozowski's derivation calculus of rational expressions to series over the free partially commutative monoids ⋮ On twin and anti-twin words in the support of the free Lie algebra ⋮ Un groupe unipotent universel

Cites Work

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• Lie elements and an algebra associated with shuffles
• Hopf algebras and identities in free partially commutative monoids
• Theory of traces
• On the partially commutative shuffle product
• Combinatorics on traces
• The free partially commutative Lie algebra: Bases and ranks
• Orthogonal projection onto the free Lie algebra
• Free partially commutative structures
• Combinatorial problems of commutation and rearrangements