The unitary dual of $U(n,2)$

Fuente: arXiv
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Auteurs principaux: Wong, Kayue Daniel, Zhang, Hongfeng
Format: Preprint
Publié: 2024
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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