Mixable Shuffles, Quasi-shuffles and Hopf Algebras

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dc.creatorEbrahimi-Fard, Kurusch
dc.creatorGuo, Li
dc.date2005-06-21
dc.date2005-07-05
dc.date.accessioned2026-07-07T06:33:19Z
dc.date.available2026-07-07T06:33:19Z
dc.descriptionThe quasi-shuffle product and mixable shuffle product are both generalizations of the shuffle product and have both been studied quite extensively recently. We relate these two generalizations and realize quasi-shuffle product algebras as subalgebras of mixable shuffle product algebras. As an application, we obtain Hopf algebra structures in free Rota-Baxter algebras.
dc.description14 pages, no figure, references updated
dc.identifierhttps://arxiv.org/abs/math/0506418
dc.identifierhttp://arxiv.org/abs/math/0506418
dc.identifierJ. Algebraic Combinatorics, 24, no 1, (2006), 83-101
dc.identifierdoi:10.1007/s10801-006-9103-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99154
dc.subjectRings and Algebras
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subject16A06, 05E99, 16W30
dc.titleMixable Shuffles, Quasi-shuffles and Hopf Algebras
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