Mixable Shuffles, Quasi-shuffles and Hopf Algebras
Abstract
Description
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.
14 pages, no figure, references updated
14 pages, no figure, references updated