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arXiv · 1307.6966

Construction of Rota-Baxter algebras via Hopf module algebras

Run-Qiang Jian
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Abstract

We propose the notion of Hopf module algebras and show that the projection onto the subspace of coinvariants is an idempotent Rota-Baxter operator of weight -1. We also provide a construction of Hopf module algebras by using Yetter-Drinfeld module algebras. As an application, we prove that the positive part of a quantum group admits idempotent Rota-Baxter algebra structures.

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Run-Qiang Jian. 2013-07-26. Construction of Rota-Baxter algebras via Hopf module algebras. https://doi.org/10.1007/s11425-014-4845-8

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