標(biāo)題：Rota-Baxter Lie bialgebras
報(bào)告時(shí)間：2024年4月1日（星期一）14:30-15:30
報(bào)告地點(diǎn)：人民大街校區(qū)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院317室
主講人：生云鶴
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
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.
主講人簡(jiǎn)介：
生云鶴，吉林大學(xué)數(shù)學(xué)學(xué)院副院長(zhǎng)、教授、博士生導(dǎo)師，吉林省政府津貼專(zhuān)家（省有突出貢獻(xiàn)專(zhuān)家）。主要研究領(lǐng)域?yàn)镻oisson幾何、非線(xiàn)性李理論、高階李理論與數(shù)學(xué)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.》等著名期刊發(fā)表學(xué)術(shù)論文90余篇。主持國(guó)家自然科學(xué)優(yōu)秀青年基金、面上項(xiàng)目、青年項(xiàng)目、天元項(xiàng)目以及博士后基金項(xiàng)目等多項(xiàng)課題，并擔(dān)任《數(shù)學(xué)進(jìn)展》、《J. Nonlinear Math. Phys.》雜志編委。
