L-indistinguishability for covering groups of algebraic tori
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910218961551360 |
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| author | Nakata, Yuki |
| author_facet | Nakata, Yuki |
| contents | A global packet may simultaneously contain an automorphic representation and a non-automorphic representation. The global $\mathcal S$-group is expected, and known in some cases, to specify the automorphic representations in each global packet. For a covering group of an algebraic torus, it is not obvious from the definition whether the analogue of a global $\mathcal S$-group has finite order. In this paper, we verify this finiteness for a Brylinski-Deligne covering group of a torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14307 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | L-indistinguishability for covering groups of algebraic tori Nakata, Yuki Number Theory A global packet may simultaneously contain an automorphic representation and a non-automorphic representation. The global $\mathcal S$-group is expected, and known in some cases, to specify the automorphic representations in each global packet. For a covering group of an algebraic torus, it is not obvious from the definition whether the analogue of a global $\mathcal S$-group has finite order. In this paper, we verify this finiteness for a Brylinski-Deligne covering group of a torus. |
| title | L-indistinguishability for covering groups of algebraic tori |
| topic | Number Theory |
| url | https://arxiv.org/abs/2605.14307 |