Stefan Dawydiak

collaborators

3 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.RT2025

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\…

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

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