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arxiv: 2401.15660 · v3 · pith:OMKDKLNUnew · submitted 2024-01-28 · 🧮 math.RT

The unitary dual of U(n,2)

classification 🧮 math.RT
keywords dualrepresentationsunitaryclassificationconjectureconsequencedeterminefair
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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 $A_{\mathfrak{q}}(\lambda)$-modules or special unipotent representations, resulting in a verification of a conjecture of Trapa and Vogan for $G$.

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