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arXiv · 2601.14832

Casselman-Wallach property for homological theta lifting

Zhibin Geng·Hang Xue
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Abstract

In this paper, we establish the Casselman-Wallach property for homological theta lifting over archimedean local fields. As a consequence, the Euler-Poincar\'e characteristic is a well-defined element in the Grothendieck group of Casselman-Wallach representations. Our main tool is a corank-one parabolic stable filtration on the Weil representation.

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BibTeXRIS

Zhibin Geng, Hang Xue. 2026-01-21. Casselman-Wallach property for homological theta lifting. https://arxiv.org/abs/2601.14832

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