The species of simple angularly decorated forests is shown to be the free Rota-Baxter species and to carry a twisted bialgebra structure; Fock functors recover known Rota-Baxter algebra structures.
Bai, A unified algebraic approach to the classical Y ang -Baxter equations, J
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Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors
The species of simple angularly decorated forests is shown to be the free Rota-Baxter species and to carry a twisted bialgebra structure; Fock functors recover known Rota-Baxter algebra structures.