论文标题
theta提起真正的统一群体的钢化代表
Theta lifting for tempered representations of real unitary groups
论文作者
论文摘要
我们研究了真实统一群体的theta抬起，并完全确定了脾气表现的theta升力。特别是，我们表明，离散级数表示（限制）的theta升力可以表示为在弱公平范围内的共同诱导的表示。这扩展了J.-S的结果。在具有足够规则的无限特征的离散级数表示的情况下，其theta升力可以表示为在良好范围内的同步诱导的表示。
We study the theta lifting for real unitary groups and completely determine the theta lifts of tempered representations. In particular, we show that the theta lifts of (limits of) discrete series representations can be expressed as cohomologically induced representations in the weakly fair range. This extends a result of J.-S. Li in the case of discrete series representations with sufficiently regular infinitesimal character, whose theta lifts can be expressed as cohomologically induced representations in the good range.
