Baxter algebras and Hopf algebras

  • Andrews G
  • Guo L
  • Keigher W
  • et al.
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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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Andrews, G., Guo, L., Keigher, W., & Ono, K. (2003). Baxter algebras and Hopf algebras. Transactions of the American Mathematical Society, 355(11), 4639–4656. https://doi.org/10.1090/s0002-9947-03-03326-9

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