报告人:张世隆 副教授
报告题目:On Rota-Baxter Lie 2-Algebras
报告时间:2026年7月27日(周一)下午3:30
报告地点:云龙校区6号楼304报告厅
主办单位:数学与统计学院、数学研究院、科学技术研究院
报告人简介:
张世隆,西北农林科技大学副教授。主要从事罗巴代数、微分代数和范畴论研究,在Adv. Appl. Math.、J. Algebra Appl.与Appl. Categor. Struct.等期刊发表 SCI 论文十余篇。
报告摘要:
This project introduces Rota-Baxter Lie 2-algebras as the categorification of Rota-Baxter Lie algebras. We prove that the category of Rota-Baxter Lie 2-algebras is equivalent to the category of 2-term Rota-Baxter L-infinity-algebras. We further establish a one-to-one correspondence between strict 2-term Rota-Baxter L-infinity-algebras and crossed modules of Rota-Baxter Lie algebras. As an application of such crossed modules, we provide explicit constructions for crossed modules of pre-Lie algebras and Lie algebras. This is a joint work with Jiefeng Liu.


