The Metaplectic Representation is Faithful
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915276443877376 |
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| author | Chang, Christopher Hellsten, Simeon Losada, Mario Marcos Novac, Sergiu |
| author_facet | Chang, Christopher Hellsten, Simeon Losada, Mario Marcos Novac, Sergiu |
| contents | We develop methods to show that infinite-dimensional modules over the Iwasawa algebra $KG$ of a uniform pro-p group are faithful and apply them to show that the metaplectic representation for the symplectic group is faithful. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04581 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Metaplectic Representation is Faithful Chang, Christopher Hellsten, Simeon Losada, Mario Marcos Novac, Sergiu Representation Theory Rings and Algebras 16D25 We develop methods to show that infinite-dimensional modules over the Iwasawa algebra $KG$ of a uniform pro-p group are faithful and apply them to show that the metaplectic representation for the symplectic group is faithful. |
| title | The Metaplectic Representation is Faithful |
| topic | Representation Theory Rings and Algebras 16D25 |
| url | https://arxiv.org/abs/2401.04581 |