Baxter Algebras and Hopf Algebras
George E. Andrews, Li Guo, William F. Keigher, Ken Ono
Abstract
Open-access reader
George E. Andrews, Li Guo, William F. Keigher, Ken Ono
Abstract
Open-access reader
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.
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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.
Key concepts: Hopf algebra, Representation theory of Hopf algebras, Mathematics, Quantum group, Pure mathematics, Class (philosophy), Algebra over a field, Quasitriangular Hopf algebra