Construction of Rota-Baxter algebras via Hopf module algebras
Rings and Algebras
2015-06-16 v3 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1307.6966,
title = {Construction of Rota-Baxter algebras via Hopf module algebras},
author = {Run-Qiang Jian},
journal= {arXiv preprint arXiv:1307.6966},
year = {2015}
}
Comments
8 pages, some typos are corrected and some statements are improved; accepted for publication in Sci China Math