07-22【卢 明】管楼1218 吴文俊数学重点实验室代数学系列报告之189

发布者:万宏艳发布时间:2021-07-15浏览次数:71

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.