Arthur's multiplicity formula for even orthogonal and unitary groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866916446073782272 |
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| author | Chen, Rui Zou, Jialiang |
| author_facet | Chen, Rui Zou, Jialiang |
| contents | Let G be an even orthogonal or unitary group over a number field. Based on the same observation used in arXiv:1705.10106, we prove the Arthur's multiplicity formula for the generic part of the automorphic discrete spectrum of G by using the theta lift. We also consider a class of non-generic A-parameters and obtain a multiplicity formula in this case. In particular, we obtain a description of the full automorphic discrete spectrum of even orthogonal or unitary groups with Witt index less or equal to one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_07956 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Arthur's multiplicity formula for even orthogonal and unitary groups Chen, Rui Zou, Jialiang Number Theory Representation Theory 22E55, 11F70 Let G be an even orthogonal or unitary group over a number field. Based on the same observation used in arXiv:1705.10106, we prove the Arthur's multiplicity formula for the generic part of the automorphic discrete spectrum of G by using the theta lift. We also consider a class of non-generic A-parameters and obtain a multiplicity formula in this case. In particular, we obtain a description of the full automorphic discrete spectrum of even orthogonal or unitary groups with Witt index less or equal to one. |
| title | Arthur's multiplicity formula for even orthogonal and unitary groups |
| topic | Number Theory Representation Theory 22E55, 11F70 |
| url | https://arxiv.org/abs/2103.07956 |