数学学科2020系列学术报告三十九 （量子群及其表示理论系列报告）

　　报告人：杜杰（教授），University of New South Wales

　　题目: A new realization of the i-quantum group U^j(n)

　　时间：2020/12/30, 15:00-15:50，16:00--16:50.

　　腾讯会议：会议号：119641428

　　摘要：The i-quantum groups are certain quantum algebras arising from the study of quantum symmetric pairs. They are defined by generators and relations and are embedded as coideal subalgebras of the quantum linear groups. Moreover, the restriction of the famous quantum Schur-Weyl duality pair for quantum linear groups and Hecke algebras of type A gives a duality pair for an i-quantum group and the Hecke algebras of type B. This new duality was discovered by H. Bao and W. Wang. Moreover, Bao, Kujawa, Li and Wang developed a geometric setting of the duality, including some fundamental multiplication formulas and the modified i-quantum group. In this talk, I report a new realization for the i-quantum group $U^j(n)$ and it’s applications to representations of finite orthogonal groups. This is joint work with Yadi Wu.

　　报告人简介：

　　杜杰，澳大利亚新南威尔士大学数学与统计学院终身教授，目前在国际著名数学类学术杂志Adv. Math, Math. Z, J. Alg等发表学术论文100多篇，与其合作者编著专著2本，分别由美国数学会和伦敦数学会发表，担任多个数学类学术杂志编委。作为项目负责人曾多次获得澳大利亚基金委的资助。