Exceptional dual pair correspondences; case of real groups of split rank one
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912829672521728 |
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| author | Bakic, Petar Loke, Hung Yean Savin, Gordan |
| author_facet | Bakic, Petar Loke, Hung Yean Savin, Gordan |
| contents | Exceptional real groups have quaternionic forms of split rank 4 that contain dual pairs $G\times G'$, where $G'$ is the split Lie group of the type $G_2$, and $G$ a Lie group of split rank one. In this paper we restrict the minimal representation of the quaternionic group to the dual pair and prove some significant results for the resulting correspondence of representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01551 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exceptional dual pair correspondences; case of real groups of split rank one Bakic, Petar Loke, Hung Yean Savin, Gordan Representation Theory Number Theory 22E46, 22E47 Exceptional real groups have quaternionic forms of split rank 4 that contain dual pairs $G\times G'$, where $G'$ is the split Lie group of the type $G_2$, and $G$ a Lie group of split rank one. In this paper we restrict the minimal representation of the quaternionic group to the dual pair and prove some significant results for the resulting correspondence of representations. |
| title | Exceptional dual pair correspondences; case of real groups of split rank one |
| topic | Representation Theory Number Theory 22E46, 22E47 |
| url | https://arxiv.org/abs/2508.01551 |