4 papers
math.RT2026
Category for hybrid quantum groups and non-commutative Springer resolutions
Quan Situ
The hybrid quantum group was firstly introduced by Gaitsgory, whose category can be viewed as a quantum analogue of BGG category . We give a coherent mod…
math.RT2026
Center of the category for a hybrid quantum group
Quan Situ
We establish an algebra isomorphism between the center of the category for a hybrid quantum group at a root of unity and the cohomology of -fixed locus on af…
math.RT2025
Equivariant Koszul Duality, Modular Category , and Periodic Kazhdan--Lusztig Polynomials
Simon Riche, Quan Situ
Let be a connected reductive algebraic group over an algebraically closed field of positive characteristic, be its Lie algebra, and be a Borel subgroup. We p…
math.RT2024
On the category of a hybrid quantum group
Quan Situ
We study the representation theory of a hybrid quantum group at root of unity introduced by Gaitsgory. After discussing some basic properties of its category , we…