應(yīng)yl7703永利官網(wǎng)邀請(qǐng),華南理工大學(xué)劉明博士將于2021年10月26日進(jìn)行線上學(xué)術(shù)講座。
時(shí)間:2021年10月26日15:00—16:00 (北京時(shí)間)
騰訊會(huì)議ID:439 884 094
(鏈接:https://meeting.tencent.com/dm/eVgWm0Wq05eJ)
摘要:An explicit isomorphism between the R-matrix and Drinfeld presentations of the quantum affine algebra in type A was given by Ding and I. Frenkel (1993). In this talk, we will show that this result can be extended to types B, C and D. In all classical types the Gauss decomposition of the generator matrix in the R-matrix presentation yields the Drinfeld generators. To prove that the resulting map is an isomorphism we follow the work of E. Frenkel and Mukhin (2002) in type A and employ the universal R-matrix to construct the inverse map. A key role in our construction is played by an embedding theorem which allows us to consider the quantum affine algebra of rank n?1 in the R-matrix presentation as a subalgebra of the corresponding algebra of rank n of the same type.
歡迎廣大師生光臨!
報(bào)告人簡(jiǎn)介
劉明,華南理工大學(xué)數(shù)學(xué)學(xué)院教師。研究方向:李代數(shù)、量子群。在Com. Math. Phy., Contemp. Math., J. Algebra 等高水平雜志上發(fā)表十多篇學(xué)術(shù)論文。
甘肅應(yīng)用數(shù)學(xué)中心
甘肅省應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)重點(diǎn)實(shí)驗(yàn)室
yl7703永利官網(wǎng)
萃英學(xué)院
2021年10月22日