学术报告报告题目：Drinfeld realization of the Yangian in type A
报 告人：Alexander Molev教授（澳大利亚悉尼大学）
报告时间：2022年1月8日（星期六）上午10：00--11:00
报告地点：Zoom会议:818 3937 1417 (https://uni-sydney.zoom.us/j/81839371417)
或者Zoom国际号：https://uni-sydney.zoom.us/u/kb8H5Dv0aB
邀 请人：刘明讲师，景乃桓教授
欢迎广大师生前往！
数学学院
2022年1月5日
报告摘要：The Yangians form a remarkable family of quantum groups related to rational solutions of the classical Yang--Baxter equation. For each simple finite-dimensional Lie algebra a over the field of complex numbers, the corresponding Yangian Y(a) is a canonical deformation of the universal enveloping algebra U(a[x]) for the polynomial current Lie algebra a[x]. Importantly, the deformation is considered in the class of Hopf algebras which guarantees its uniqueness under some natural `homogeneity' conditions. The representation theory of the Yangians Y(a) is a very much nontrivial and fascinating area. Although the finite-dimensional irreducible representations of Y(a) are classified, their general structure remains largely unknown. The goal of the course is to give an introduction to the Yangian structure theory and their representations, in particular, we will focus on type A.
This is the fourth lecture of the series, specifically on Drinfeld realization of the Yangian algebra.
报告人简介：Molev是悉尼大学教授，澳大利亚科学院院士，国际著名表示论专家，在Yangian 代数、组合数学等诸多研究领域都作出了重要的贡献。Molev教授2001年获得澳大利亚数学会奖，著有Yangian代数的权威名著。