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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2401.15660 |
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| _version_ | 1866909184590610432 |
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| author | Wong, Kayue Daniel Zhang, Hongfeng |
| author_facet | Wong, Kayue Daniel Zhang, Hongfeng |
| contents | In this paper, we give a full classification of the unitary dual of $G = U(n,2)$ for $n \geq 3$. As a consequence, we determine which of these representations are weakly fair $A_{\mathfrak{q}}(λ)$-modules or special unipotent representations, resulting in a verification of a conjecture of Trapa and Vogan for $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15660 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The unitary dual of $U(n,2)$ Wong, Kayue Daniel Zhang, Hongfeng Representation Theory In this paper, we give a full classification of the unitary dual of $G = U(n,2)$ for $n \geq 3$. As a consequence, we determine which of these representations are weakly fair $A_{\mathfrak{q}}(λ)$-modules or special unipotent representations, resulting in a verification of a conjecture of Trapa and Vogan for $G$. |
| title | The unitary dual of $U(n,2)$ |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2401.15660 |