Stefan Dawydiak

collaborators

5 papers

math.RT2026

On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $GL_{n}$

Stefan Dawydiak

We study Braverman-Kazhdan's asymptotic Hecke algebra $J (G)$ for inner forms $G$ of $p$ -adic $GL_{n}$ . We show that $J (G)$ and the property for a $G$ -rep…

math.RT2026

Standard modules of affine Hecke algebras

Stefan Dawydiak

Let $G$ be a connected reductive group defined and split over a non-archimedean local field $F$ . We give a new geometric proof of a special case of a recent theorem of Solleveld. N…

math.RT2026

A positivity property in the based ring of the lowest two-sided cell

Stefan Dawydiak

Let $W_{aff}$ be an extended affine Weyl group and $H$ and $J$ be the corresponding affine and asymptotic Hecke algebras with standard bases ${T_{x}}$ and $\{t_w\…

math.RT2025

The asymptotic Hecke algebra and rigidity

Stefan Dawydiak

We reprove the surjectivity statement of Braverman-Kazhdan's spectral description of Lusztig's asymptotic Hecke algebra $J$ in the context of $p$ -adic groups. The proof is based on…

math.RT2025

Denominators in Lusztig's asymptotic Hecke algebra via the Plancherel formula

Stefan Dawydiak

Let $W ~$ be an extended affine Weyl group, $H$ be the corresponding affine Hecke algebra over the ring $\mathbb{C}[\mathbf{q}^\frac{1}{2}, \mathbf{q}^{-\frac{1}{2}}…

On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of GLn​

Standard modules of affine Hecke algebras

A positivity property in the based ring of the lowest two-sided cell

The asymptotic Hecke algebra and rigidity

Denominators in Lusztig's asymptotic Hecke algebra via the Plancherel formula

On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $GL_{n}$