Boundary unitary representations - right-angled hyperbolic buildings

Autor:	Bader, Uri, Dymara, Jan
Rok vydání:	2015
Předmět:	Mathematics - Dynamical Systems Mathematics - Group Theory Mathematics - Representation Theory 37 20
Druh dokumentu:	Working Paper
Popis:	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. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1506.06290 Zobrazit plný text záznamu View this record from Arxiv