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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.14832 |
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| _version_ | 1866918298766016512 |
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| author | Geng, Zhibin Xue, Hang |
| author_facet | Geng, Zhibin Xue, Hang |
| contents | In this paper, we establish the Casselman-Wallach property for homological theta lifting over archimedean local fields. As a consequence, the Euler-Poincaré 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14832 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Casselman-Wallach property for homological theta lifting Geng, Zhibin Xue, Hang Representation Theory In this paper, we establish the Casselman-Wallach property for homological theta lifting over archimedean local fields. As a consequence, the Euler-Poincaré 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. |
| title | Casselman-Wallach property for homological theta lifting |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2601.14832 |