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math.AG2022
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…
math.RT2022
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…