Hopf algebra structure on free Rota-Baxter algebras by angularly decorated rooted trees (2104.04409v1)

Published 9 Apr 2021 in math.RA and math.CO

Abstract: By means of a new notion of subforests of an angularly decorated rooted forest, we give a combinatorial construction of a coproduct on the free Rota-Baxter algebra on angularly decorated rooted forests. We show that this coproduct equips the Rota-Baxter algebra with a bialgebra structure and further a Hopf algebra structure.

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