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"九章講壇" 第461講 — 劉明 博士

日期:2021-10-22點(diǎn)擊數(shù):

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。


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萃英學(xué)院

2021年10月22日