Boundary unitary representations - right-angled hyperbolic buildings
Dynamical Systems
2015-06-23 v1 Group Theory
Representation Theory
Abstract
We study the unitary boundary representation of a strongly transitive group acting on a right-angled hyperbolic building. We show its irreducibility. We do so by associating to such a representation a representation of a certain Hecke algebra, which is a deformation of the classical representation of a hyperbolic reflection group. We show that the associated Hecke algebra representation is irreducible.
Cite
@article{arxiv.1506.06290,
title = {Boundary unitary representations - right-angled hyperbolic buildings},
author = {Uri Bader and Jan Dymara},
journal= {arXiv preprint arXiv:1506.06290},
year = {2015}
}
Comments
18 pages