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| Main Authors: | , |
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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2412.08351 |
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| _version_ | 1866916518531432448 |
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| author | Ørsted, Bent Vargas, Jorge A. |
| author_facet | Ørsted, Bent Vargas, Jorge A. |
| contents | For a semisimple Lie group $G$ satisfying the equal rank condition, the most basic family of unitary irreducible representations is the Discrete Series found by Harish-Chandra. In this paper, we continue our study of the branching laws for Discrete Series when restricted to a subgroup $H$ of the same type by use of integral and differential operators in combination with our previous duality principle. Many results are presented in generality, others are shown in detail for Holomorphic Discrete Series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08351 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Branching laws and a duality principle, Part I Ørsted, Bent Vargas, Jorge A. Representation Theory Primary 22E46, Secondary 17B10 For a semisimple Lie group $G$ satisfying the equal rank condition, the most basic family of unitary irreducible representations is the Discrete Series found by Harish-Chandra. In this paper, we continue our study of the branching laws for Discrete Series when restricted to a subgroup $H$ of the same type by use of integral and differential operators in combination with our previous duality principle. Many results are presented in generality, others are shown in detail for Holomorphic Discrete Series. |
| title | Branching laws and a duality principle, Part I |
| topic | Representation Theory Primary 22E46, Secondary 17B10 |
| url | https://arxiv.org/abs/2412.08351 |