2004arXiv (Cornell University)Open access

Baxter Algebras and Hopf Algebras

George E. Andrews, Li Guo, William F. Keigher, Ken Ono

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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.

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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.

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Available 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.

Key concepts: Hopf algebra, Representation theory of Hopf algebras, Mathematics, Quantum group, Pure mathematics, Class (philosophy), Algebra over a field, Quasitriangular Hopf algebra

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