CAT（-1）群的补级数的类似
Analogs of complementary series for CAT(-1) groups
摘要：
本文将补级数表示的构造推广到具有条件负度量的CAT（-1）空间的凸余紧等距群上。我们的方法是纯粹的动力学和推广的负弯曲代数群的$SO(n,1)$，$SU(n,1)$或$SL_2(\mathbb{Q}_p)$和他们的格的新的例子，作为非线性群来自某些双曲建筑物的格的结构。
英文摘要：
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.
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