Analogs of complementary series for CAT(-1) groups
Group Theory
2020-12-02 v2 Dynamical Systems
Representation Theory
Abstract
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 , or and their lattices to new examples as non-linear groups coming from lattices of certain hyperbolic buildings.
Keywords
Cite
@article{arxiv.2007.15369,
title = {Analogs of complementary series for CAT(-1) groups},
author = {Kevin Boucher},
journal= {arXiv preprint arXiv:2007.15369},
year = {2020}
}
Comments
v2: minor modifications, minor improvement of Theorem 1