Baxter Algebras and Shuffle Products
classification
🧮 math.RA
math.ACmath.COmath.CT
keywords
algebrabaxtershufflealgebrasconstructionfreemixableproduct
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.