English

Rota-Baxter operators on $\mathrm{Cur}(\mathrm{sl}_2(\mathbb{C}))$

Rings and Algebras 2025-08-20 v1

Abstract

We classify all Rota-Baxter operators on the simple conformal Lie algebra Cur(sl2(C))\mathrm{Cur}(\mathrm{sl}_2(\mathbb{C})) and clarify which of them arise from the solutions to the conformal classical Yang-Baxter equation due to the connection discovered by Y. Hong and C. Bai in 2020.

Keywords

Cite

@article{arxiv.2209.13141,
  title  = {Rota-Baxter operators on $\mathrm{Cur}(\mathrm{sl}_2(\mathbb{C}))$},
  author = {Vsevolod Gubarev and Roman Kozlov},
  journal= {arXiv preprint arXiv:2209.13141},
  year   = {2025}
}

Comments

21 p

R2 v1 2026-06-28T02:10:00.427Z