報告人：杜杰（教授），University of New South Wales
題目: A new realization of the i-quantum group U^j(n)
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.
杜杰，澳大利亞新南威爾士大學數學與統計學院終身教授，目前在國際著名數學類學術雜志Adv. Math, Math. Z, J. Alg等發表學術論文100多篇，與其合作者編著專著2本，分別由美國數學會和倫敦數學會發表，擔任多個數學類學術雜志編委。作為項目負責人曾多次獲得澳大利亞基金委的資助。