Casselman-Wallach property for homological theta lifting
Representation Theory
2026-01-22 v1
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.
Keywords
Cite
@article{arxiv.2601.14832,
title = {Casselman-Wallach property for homological theta lifting},
author = {Zhibin Geng and Hang Xue},
journal= {arXiv preprint arXiv:2601.14832},
year = {2026}
}