|Dept.||University of Virginia|
2023-02-07 (Tue) 09:00 ~ 11:00 AM
2023-02-13 (Mon) 09:00 ~ 11:00 AM
In this minicourse, we shall introduce i-quantum groups arising from quantum symmetric pairs as a generalization of Drinfeld-Jimbo quantum groups. We will introduce i-divided powers and show how they conceptually lead to i-Serre relations and Serre presentations for (quasi-)split i-quantum groups. We will construct a new bar involution and i-canonical basis for any integrable module over a quantum group (viewed as modules over i-quantum groups); i-divided powers are examples of i-canonical basis elements on a (modified) i-quantum group.
*This seminar will be held on Zoom.