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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.08696 |
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| _version_ | 1866918052982947840 |
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| author | Shi, Luozi Zhao, Yifei |
| author_facet | Shi, Luozi Zhao, Yifei |
| contents | Kottwitz suggested to study all extended pure inner forms together in the local Langlands correspondence for linear reductive groups. We extend this philosophy to a large class of covers, including those defined by Brylinski and Deligne, and explain its relation with Weissman's observation that L-packets for covers are sometimes empty. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08696 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | What are the extended pure inner forms of a cover? Shi, Luozi Zhao, Yifei Representation Theory Number Theory 11F70 Kottwitz suggested to study all extended pure inner forms together in the local Langlands correspondence for linear reductive groups. We extend this philosophy to a large class of covers, including those defined by Brylinski and Deligne, and explain its relation with Weissman's observation that L-packets for covers are sometimes empty. |
| title | What are the extended pure inner forms of a cover? |
| topic | Representation Theory Number Theory 11F70 |
| url | https://arxiv.org/abs/2506.08696 |