报告人：生云鹤
报告地点：数学与统计学院317室
报告时间：2024年04月01日星期一14:30-15:30
邀请人：陈良云、刘杰锋
报告摘要：
First we introduce the notion of quadratic Rota-Baxter Lie algebras of arbitrary weight, and show that there is a one-to-one correspondence between factorizable Lie bialgebras and quadratic Rota-Baxter Lie algebras of nonzero weight. Then we introduce the notions of matched pairs, bialgebras and Manin triples of Rota-Baxter Lie algebras of arbitrary weight, and show that Rota-Baxter Lie bialgebras, Manin triples of Rota-Baxter Lie algebras and certain matched pairs of Rota-Baxter Lie algebras are equivalent. The coadjoint representations and quadratic Rota-Baxter Lie algebras play important roles in the whole study.
主讲人简介：
生云鹤，吉林大学数学学院副院长、教授、博士生导师，吉林省政府津贴专家（省有突出贡献专家）。主要研究领域为Poisson几何、非线性李理论、高阶李理论与数学物理等。在《Adv. Math.》《Math. Ann.》《Comm. Math. Phys.》《Trans. Amer. Math. Soc.》《Int. Math. Res. Not. IMRN》、《J. Noncommut. Geom.》《J. Algebra》《Pacific J. Math.》等著名期刊发表学术论文90余篇。主持国家自然科学优秀青年基金、面上项目、青年项目、天元项目以及博士后基金项目等多项，并担任《数学进展》、《J. Nonlinear Math. Phys.》杂志编委。
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