Mixable Shuffles, Quasi-shuffles and Hopf Algebras

Details Mixable Shuffles, Quasi-shuffles and Hopf Algebras Mixable Shuffles, Quasi-shuffles and Hopf Algebras

2005-06-21

arxiv.org/abs/math/0506418v2

J. Algebraic Combinatorics, 24, no 1, (2006), 83-101

Mathematics

Rings and Algebras

14 pages, no figure, references updated

Scientific paper

10.1007/s10801-006-9103-x

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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