论文标题
CAT（-1）组互补系列的类似物
Analogs of complementary series for CAT(-1) groups
论文作者
论文摘要
在本文中，我们将互补级数表示的构造扩展到具有有条件为负指标的CAT（-1）空间的凸相结合等距组。我们的方法纯粹是动态的，并将因负弯曲的代数群体而闻名的结构概括为$（n，1）$，$ su（n，1）$或$ sl_2（\ Mathbb {q} _p）$及其晶格及其晶格及其晶格及其新示例，因为来自某些超级型建筑物的非线性群体。
In this paper we extend the construction of complementary series representations to convex-cocompact isometry groups of CAT(-1) spaces with conditionally negative metrics. Our approach is purely dynamical and generalizes the constructions known for negatively curved algebraic groups as $SO(n,1)$, $SU(n,1)$ or $SL_2(\mathbb{Q}_p)$ and their lattices to new examples as non-linear groups coming from lattices of certain hyperbolic buildings.
