Baxter Algebras and Shuffle Products
Rings and Algebras
2007-05-23 v1 Commutative Algebra
Combinatorics
Category Theory
Abstract
In this paper we generalize the well-known construction of shuffle product algebras by using mixable shuffles, and prove that any free Baxter algebra is isomorphic to a mixable shuffle product algebra. This gives an explicit construction of the free Baxter algebra, extending the work of Rota and Cartier.
Cite
@article{arxiv.math/0407155,
title = {Baxter Algebras and Shuffle Products},
author = {Li Guo and William Keigher},
journal= {arXiv preprint arXiv:math/0407155},
year = {2007}
}
Comments
30 pages