On some conjectures of the unitary dual of $U(p,q)$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909082446725120 |
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| author | Wong, Kayue Daniel |
| author_facet | Wong, Kayue Daniel |
| contents | In this manuscript, we introduce the notion of fundamental cases to study the unitary dual of $U(p,q)$. As applications, we prove of a conjecture of Salamanca-Riba and Vogan stated in 1998, as well as the fundamental parallelepiped (FPP) conjecture of Vogan in 2023 for $U(p,q)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_08684 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On some conjectures of the unitary dual of $U(p,q)$ Wong, Kayue Daniel Representation Theory In this manuscript, we introduce the notion of fundamental cases to study the unitary dual of $U(p,q)$. As applications, we prove of a conjecture of Salamanca-Riba and Vogan stated in 1998, as well as the fundamental parallelepiped (FPP) conjecture of Vogan in 2023 for $U(p,q)$. |
| title | On some conjectures of the unitary dual of $U(p,q)$ |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2210.08684 |