标题： 覆盖巴巴斯奇-沃根对偶性和真实表示的波前集 显示英文标题

标题： Covering Barbasch-Vogan duality and wavefront sets of genuine representations

摘要： 在本文中，我们首先定义了一个覆盖Barbasch-Vogan对偶性，并证明了其一些性质。然后，对于$p$-adic覆盖群的真实表示，我们利用这个覆盖Barbasch-Vogan对偶性提出了它们的波前集的一个上界猜想，并将其简化为非离散表示。该表述推广了Ciubotaru-Kim和Hazeltine-Liu-Lo-Shahidi对于线性代数群的表述。我们证明了Kazhdan-Patterson一般线性群覆盖的这个上界猜想。 显示英文摘要

摘要： In this paper, we start by defining a covering Barbasch-Vogan duality and prove some of its properties. Then, for genuine representations of $p$-adic covering groups we formulate an upper bound conjecture for their wavefront sets using this covering Barbasch-Vogan duality and reduce it to anti-discrete representations. The formulation generalizes that of Ciubotaru-Kim and Hazeltine-Liu-Lo-Shahidi for linear algebraic groups. We prove this upper bound conjecture for Kazhdan-Patterson coverings of general linear groups.