Induction from two linked segments with one half border and cuspidal reducibility
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917863834517504 |
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| author | Ciganović, Igor |
| author_facet | Ciganović, Igor |
| contents | In this paper, we determine the composition series of the induced representation $δ([ν^{\frac{1}{2}}ρ,ν^cρ])\times δ([ν^{-a}ρ,ν^bρ]) \rtimes σ$ where $a, b, c \in \mathbb{Z}+\frac{1}{2}$ such that $\frac{1}{2}\leq a < b < c$, $ρ$ is an irreducible cuspidal unitary representation of a general linear group and $σ$ is an irreducible cuspidal representation of a classical group such that $ν^\frac{1}{2}ρ\rtimes σ$ reduces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07018 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Induction from two linked segments with one half border and cuspidal reducibility Ciganović, Igor Representation Theory 22D30 (Primary) 22E50, 22D12, 11F85 (Secondary) In this paper, we determine the composition series of the induced representation $δ([ν^{\frac{1}{2}}ρ,ν^cρ])\times δ([ν^{-a}ρ,ν^bρ]) \rtimes σ$ where $a, b, c \in \mathbb{Z}+\frac{1}{2}$ such that $\frac{1}{2}\leq a < b < c$, $ρ$ is an irreducible cuspidal unitary representation of a general linear group and $σ$ is an irreducible cuspidal representation of a classical group such that $ν^\frac{1}{2}ρ\rtimes σ$ reduces. |
| title | Induction from two linked segments with one half border and cuspidal reducibility |
| topic | Representation Theory 22D30 (Primary) 22E50, 22D12, 11F85 (Secondary) |
| url | https://arxiv.org/abs/2412.07018 |