On some conjectures of the unitary dual of U(p,q)
Abstract
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).
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