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arXiv · 2606.01206

Weyl algebras on Braverman-Kazhdan spaces

Chun-Hsien Hsu
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Abstract

Let $G$ be a split, simply connected, almost simple algebraic group over a field of characteristic zero, and let $P$ be a maximal parabolic subgroup of $G$. We study the ring of differential operators on $P^{\mathrm{der}}\backslash G$, showing that it shares several key structural properties with classical Weyl algebras. We also develop a corresponding theory of $D$-modules.

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BibTeXRIS

Chun-Hsien Hsu. 2026-05-31. Weyl algebras on Braverman-Kazhdan spaces. https://arxiv.org/abs/2606.01206

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