论文标题
将微不足道的表示形式提升为非线性双层盖
Lift of the trivial representation to a nonlinear double cover
论文作者
论文摘要
令$ \ widetilde g $为连接的，简单连接的半圣复合组的真实点的非线性双盖。在[ts]中，我们引入了一组$ \ widetilde g $的真正小代表，带有无限字符$λ$，表示为$ \ prod_λ^s（\ widetilde g）$。在本文中，我们表明$ \ prod _ {ρ/2} ^s（\ wideTilde g）$恰恰是一组真正的不可减至的代表，而当$ \ widetilde g $被简单地划分并分裂时，卡兹丹 - 帕特森提升了琐事表示。
Let $\widetilde G$ be the nonlinear double cover of the real points of a connected, simply connected, semisimple complex group. In [Ts], we introduce a set of genuine small representations of $\widetilde G$ with infinitesimal character $λ$, denoted $\prod _λ^s (\widetilde G)$. In this paper, we show that $\prod _{ρ/2} ^s (\widetilde G)$ is precisely the set of genuine irreducible representations arising from the Kazhdan-Patterson lifting of the trivial representation, when $\widetilde G$ is simply laced and split.
