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Commutative modified Rota-Baxter algebras, shuffle products and Hopf algebras
Published 12 Jan 2018 in math.RA and math.AC | (1801.04239v1)
Abstract: In this paper, we begin a systematic study of modified Rota-Baxter algebras, as an associative analogue of the modified classical Yang-Baxter equation. We construct free commutative modified Rota-Baxter algebras by a variation of the shuffle product and describe the structure both recursively and explicitly. We then provide these algebras with a Hopf algebra structure by applying a Hochschild cocycle.
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