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arXiv · 1801.04239

Commutative modified Rota-Baxter algebras, shuffle products and Hopf algebras

Xigou Zhang·Xing Gao·Li Guo
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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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Xigou Zhang, Xing Gao, Li Guo. 2018-01-12. Commutative modified Rota-Baxter algebras, shuffle products and Hopf algebras. https://arxiv.org/abs/1801.04239

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