96 citations · 218 across the 11 of their papers we have counts for
11 papers
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…
Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT
Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer
In this article we continue to explore the notion of Rota-Baxter algebras in the context of the Hopf algebraic approach to renormalization theory in perturbative quantum field theo…
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…