题目：Hall algebra of the projective line and q-Onsager algebra

报告人：卢明， 四川大学

时间：2021年7月22日（星期四） 10:30-11:30 

地点：东区管理科研楼1218教室

摘要：A quantum symmetric pair consists of a quantum group and its coideal subalgebra (called an i-quantum group). A quantum group can be viewed as an example of i-quantum groups associated to symmetric pairs of diagonal type.

Recently, we present a geometric construction of affine i-quantum groups in Drinfeld type presentation. For simplicity, in this talk, we mainly focus on the i-quantum group of type affine sl_2, which is also called q-Onsager algebra. The Drinfeld type presentation of the q-Onsager algebra is introduced, and it can be realized by using the i-Hall algebra of the projective line. This is joint work with Shiquan Ruan and Weiqiang Wang.