96 citations · 218 across the 11 of their papers we have counts for
8 papers · 1 filter
Mixable Shuffles, Quasi-shuffles and Hopf Algebras
Kurusch Ebrahimi-Fard, Li Guo
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 gen…
Baxter Algebras and Hopf Algebras
George E. Andrews, Li Guo, William Keigher +1
By applying a recent construction of free Baxter algebras, we obtain a new class of Hopf algebras that generalizes the classical divided power Hopf algebra. We also study condition…
Baxter Algebras and Differential Algebras
Li Guo
A Baxter algebra is a commutative algebra that carries a generalized integral operator. In the first part of this paper we review past work of Baxter, Miller, Rota and Cartier…
Baxter Algebras and Umbral Calculus
Li Guo
We apply recent constructions of free Baxter algebras to the study of the umbral calculus. We give a characterization of the umbral calculus in terms of Baxter algebra. This charac…
Properties of Free Baxter Algebras
Li Guo
The study of free Baxter algebras was started by Rota and Cartier thirty years ago. We continue this study by applying two recent constructions of free Baxter algebras. We investig…
On Free Baxter Algebras: Completions and the Internal Construction
Li Guo, William Keigher
We continue the study of free Baxter algebras. There are two goals of this paper. The first goal is to extend the construction of shuffle Baxter algebras to completions of Baxter a…