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Baxter Algebras and Hopf Algebras

2004/07/10 by George E. Andrews, Li Guo, William Keigher +1
Mathematics · #math.RA #math.AC #math.CO #msc:16W99 #msc:16W30 #msc:05A40

paper · pdf

published as Trans. Amer. Math. Soc., 355 (2003), 4639-4656 · 22 pages

arxiv created 2004/07/10 · arxiv updated 2009/12/01

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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