5 papers · 1 filter
Parabolic semiinfinite sheaves on affine flag varieties
Simon Riche, Quan Situ
We study sheaves on affine flag varieties of reductive algebraic groups in parabolic semiinfinite settings, generalizing some constructions and results from the work of Gaitsgory a…
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…
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…
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 affi…
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…