4 citations · 4 across the 4 of their papers we have counts for
4 papers
Twisted equivariant HKR theorem for torus action and the small quantum group
Nicolas Hemelsoet
We show that when a torus acts on a smooth variety , the twisted HKR isomorphism is equivariant. The main consequence is that the Bezrukavnikov- Lachowska isomorphism, relat…
On the affine Springer fibers inside the invariant center of the small quantum group
Nicolas Hemelsoet, Oscar Kivinen, Anna Lachowska
Let denote the small quantum group associated with a simple Lie algebra and a root of unity . In [9], a geometric realization of $Z(\ma…
On certain Hochschild cohomology groups for the small quantum group
Nicolas Hemelsoet, Rik Voorhaar
We apply the sheaf cohomology BGG method developed by the authors and Lachowska-Qi to the computation of Hochschild cohomology groups of various blocks of the small quantum group.…
A computer algorithm for the BGG resolution
Nicolas Hemelsoet, Rik Voorhaar
We present a computer algorithm to explicitly compute the BGG resolution and its cohomology. We give several applications, in particular computation of various sheaf cohomology gro…