2 papers
math.RT2023
Differential operator realization of braid group action on quantum groups
Zhaobing Fan, Jicheng Geng, Shaolong Han
We construct a unique braid group action on modified -Weyl algebra . Under this action, we give a realization of the braid group action on quasi-split qu…
math.QA2022
Differential operator approach to quantum groups and their oscillator representations
Zhaobing Fan, Jicheng Geng, Shaolong Han
For a quasi-split Satake diagram, we define a modified -Weyl algebra, and show that there is an algebra homomorphism between it and the corresponding quantum group. In o…