Ext-analogues of Gan--Gross--Prasad models vanish for tempered representations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909327994912768 |
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| author | Chen, Rui |
| author_facet | Chen, Rui |
| contents | In this paper we prove that Ext-analogues of Gan--Gross--Prasad models vanish for tempered representations, as conjectured by D. Prasad. In particular, this implies a conjectural Euler--Poincaré characteristic formula for Gan--Gross--Prasad models. Besides, we also single out a special class of tempered representations, which includes the Steinberg representation, and show that the restrictions of them are projective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_12619 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ext-analogues of Gan--Gross--Prasad models vanish for tempered representations Chen, Rui Representation Theory In this paper we prove that Ext-analogues of Gan--Gross--Prasad models vanish for tempered representations, as conjectured by D. Prasad. In particular, this implies a conjectural Euler--Poincaré characteristic formula for Gan--Gross--Prasad models. Besides, we also single out a special class of tempered representations, which includes the Steinberg representation, and show that the restrictions of them are projective. |
| title | Ext-analogues of Gan--Gross--Prasad models vanish for tempered representations |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2303.12619 |