论文标题
theta提升实际统一群体的离散系列表示
Theta lifting for discrete series representations of real unitary groups
论文作者
论文摘要
我们研究了真实统一组的theta举重，并完全确定了离散串联表示的theta举重。特别是，我们表明这些theta升降机可以表示为弱公平范围内的同步诱导的表示。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 discrete series representations. In particular, we show that these theta lifts 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.
