Baxter algebras and Hopf algebras

Andrews, George; Guo, Li; Keigher, William; Ono, Ken

doi:10.1090/S0002-9947-03-03326-9

Baxter algebras and Hopf algebras
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by George E. Andrews, Li Guo, William Keigher and Ken Ono

Trans. Amer. Math. Soc. 355 (2003), 4639-4656

DOI: https://doi.org/10.1090/S0002-9947-03-03326-9

Published electronically: May 15, 2003

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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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