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arXiv · math/0407155

Baxter Algebras and Shuffle Products

Li Guo·William Keigher
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Abstract

In this paper we generalize the well-known construction of shuffle product algebras by using mixable shuffles, and prove that any free Baxter algebra is isomorphic to a mixable shuffle product algebra. This gives an explicit construction of the free Baxter algebra, extending the work of Rota and Cartier.

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Li Guo, William Keigher. 2004-07-09. Baxter Algebras and Shuffle Products. https://arxiv.org/abs/math/0407155

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