由拟幂等元产生的拟幂等 Rota-Baxter 算子
环与代数
2017-01-25 v3 量子代数
摘要
在本短文中，我们通过拟幂等元构造拟幂等 Rota-Baxter 算子，并证明每个有限维霍普夫代数都容许非平凡的 Rota-Baxter 代数结构和 tridendriform 代数结构。给出了若干具体例子，包括有限量子群和 Iwahori-Hecke 代数。
引用
@article{arxiv.1604.07292,
title = {Quasi-idempotent Rota-Baxter operators arising from quasi-idempotent elements},
author = {Run-Qiang Jian},
journal= {arXiv preprint arXiv:1604.07292},
year = {2017}
}
备注
8 pages; examples related to Iwahori-Hecke algebras are added; title is changed according to the referee's comment; the revised version for the publication in Letters in Mathematical Physics