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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.05985 |
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| _version_ | 1866912953954992128 |
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| author | Zhang, Chong |
| author_facet | Zhang, Chong |
| contents | We study the behavior of Galois periods under the local theta correspondence for even orthogonal and symplectic groups. Specifically, we compare their multiplicities and construct explicit transfer maps. Furthermore, we establish both an adjoint relation and a relative character relation for these periods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05985 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local theta correspondence and Galois periods Zhang, Chong Representation Theory Number Theory We study the behavior of Galois periods under the local theta correspondence for even orthogonal and symplectic groups. Specifically, we compare their multiplicities and construct explicit transfer maps. Furthermore, we establish both an adjoint relation and a relative character relation for these periods. |
| title | Local theta correspondence and Galois periods |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2603.05985 |