齐次相似Rota-Baxter系统与Dyck$^m$-代数
环与代数
2021-12-02 v1 量子代数
摘要
我们证明了 [W.A. Martinez, E.G. Reyes & M. Ronco, Int. J. Geom. Meth. Mod. Phys. 18 (2021) 2150176] 中引入的广义 Rota-Baxter 算子是 Rota-Baxter 系统 [T. Brzeziński, J. Algebra 460 (2016), 1-25] 的特例。后者被齐次相似变换所丰富，并进而被证明给出 Dyck-代数的例子。
引用
@article{arxiv.2112.00332,
title = {Homothetic Rota-Baxter systems and Dyck$^m$-algebras},
author = {Tomasz Brzeziński},
journal= {arXiv preprint arXiv:2112.00332},
year = {2021}
}
备注
8 pages, submitted to the proceeding of the 14-th International Workshop "Lie Theory and Its Applications in Physics" (LT-14), 21-25 June 2021, Sofia, Bulgaria (on-line)