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Baxter algebras and Hopf algebras
Authors:George E. Andrews   Li Guo   William Keigher   Ken Ono
Affiliation:Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802 ; Department of Mathematics and Computer Science, Rutgers University at Newark, Newark, New Jersey 07102 ; Department of Mathematics and Computer Science, Rutgers University at Newark, Newark, New Jersey 07102 ; Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Abstract: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 conditions under which these Hopf algebras are isomorphic.

Keywords:Free Baxter algebra   Hopf algebra   divided power
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