Commutative modified Rota-Baxter algebras, shuffle products and Hopf algebras
Rings and Algebras
2018-01-15 v1 Commutative Algebra
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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Cite
@article{arxiv.1801.04239,
title = {Commutative modified Rota-Baxter algebras, shuffle products and Hopf algebras},
author = {Xigou Zhang and Xing Gao and Li Guo},
journal= {arXiv preprint arXiv:1801.04239},
year = {2018}
}
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20 pages