Kenta Suzuki

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math.RT2025

Geometric characterization of the group law in the Weyl group

Kenta Suzuki

Let $G$ be a reductive group with Borel $B$ and Weyl group $W$ . Then $B$ -double cosets in $G$ are indexed by the Weyl group, say $O (w)$ for $w \in W$ . Then we prove the minimal $B$ -…

math.RT2024

Trace Paley-Wiener theorem for Braverman-Kazhdan's asymptotic Hecke algebra

Kenta Suzuki

Let $G$ be a reductive algebraic group over a non-archimedean local field $F$ of characteristic zero and let $G = G (F)$ be the group of $F$ -rational points. Let $\mat…