Mixable Shuffles, Quasi-shuffles and Hopf Algebras
Rings and Algebras
2007-05-23 v2 Commutative Algebra
Combinatorics
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.math/0506418,
title = {Mixable Shuffles, Quasi-shuffles and Hopf Algebras},
author = {Kurusch Ebrahimi-Fard and Li Guo},
journal= {arXiv preprint arXiv:math/0506418},
year = {2007}
}
Comments
14 pages, no figure, references updated