Asymptotic Schur orthogonality relations for Heisenberg groups over local fields
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912444590325760 |
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| author | Mandal, Malay Mondal, Arghya |
| author_facet | Mandal, Malay Mondal, Arghya |
| contents | Asymptotic Schur orthogonality relations are for irreducible unitary representations of locally compact groups that need not be discrete series, where $L^2$ pairing of matrix coefficients with respect to Haar measure is replaced by a limit of that with respect to a sequence of bounded measures. We show that such relations hold for Heisenberg groups over local fields. This is achieved in the framework of c-temperedness introduced by Kazhdan and Yom Din. The related condition of convergence to braiding operator is also shown. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18300 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic Schur orthogonality relations for Heisenberg groups over local fields Mandal, Malay Mondal, Arghya Representation Theory Asymptotic Schur orthogonality relations are for irreducible unitary representations of locally compact groups that need not be discrete series, where $L^2$ pairing of matrix coefficients with respect to Haar measure is replaced by a limit of that with respect to a sequence of bounded measures. We show that such relations hold for Heisenberg groups over local fields. This is achieved in the framework of c-temperedness introduced by Kazhdan and Yom Din. The related condition of convergence to braiding operator is also shown. |
| title | Asymptotic Schur orthogonality relations for Heisenberg groups over local fields |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2506.18300 |