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math.RT2021
A coherent categorification of the based ring of the lowest two-sided cell
Stefan Dawydiak
We give a partial coherent categorification of , the based ring of the lowest two sided cell of an affine Weyl group, equipped with a monoidal functor from the category of coh…
math.RT2021★ 3 cited
On the structure of the affine asymptotic Hecke algebras
Roman Bezrukavnikov, Stefan Dawydiak, Galyna Dobrovolska
According to a conjecture of Lusztig, the asymptotic affine Hecke algebra should admit a description in terms of the Grothedieck group of sheaves on the square of a finite set equi…
math.RT2021
Denominators in Lusztig's asymptotic Hecke algebra via the Plancherel formula
Stefan Dawydiak
Let be an extended affine Weyl group, be the corresponding affine Hecke algebra over the ring $\mathbb{C}[\mathbf{q}^\frac{1}{2}, \mathbf{q}^{-\frac{1}{2}}…