Introduces averaging antisymmetric infinitesimal bialgebras, characterizes them via matched pairs, double constructions, and Rota-Baxter operators, and applies them to perm bialgebras.
Aguiar, Pre-Poisson algebras, Lett
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Averaging antisymmetric infinitesimal bialgebra and perm bialgebras
Introduces averaging antisymmetric infinitesimal bialgebras, characterizes them via matched pairs, double constructions, and Rota-Baxter operators, and applies them to perm bialgebras.