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Mixable Shuffles, Quasi-shuffles and Hopf Algebras

Kurusch Ebrahimi-Fard·Li Guo
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Abstract

The 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.

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BibTeXRIS

Kurusch Ebrahimi-Fard, Li Guo. 2005-07-05. Mixable Shuffles, Quasi-shuffles and Hopf Algebras. https://doi.org/10.1007/s10801-006-9103-x

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