报告人：卢明

时 间：2026-05-18 14:00:00

地 点：理科楼 L2620

报告摘要：A quantum symmetric pair consists of a quantum group and its coideal subalgebra (called an i-quantum group). Quantum groups can be viewed as an example of i-quantum groups associated to symmetric pairs of diagonal type. Similar to real Lie algebras/groups, i-quantum groups are classified by Satake diagrams (bicolored diagrams with involutions), and have more cases than quantum groups, even for finite type. In this talk, we shall introduce braid group symmetries and then construct PBW type bases for i-quantum groups of finite type. We show that our PBW type basis gives rise to an integral basis for the modified i-quantum group by using i-divided powers. The leading terms of our bases can be identified with the usual PBW bases in the theory of quantum groups. This is joint work with Ruiqi Yang and Weinan Zhang.