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Boundary unitary representations - right-angled hyperbolic buildings

Published 20 Jun 2015 in math.DS, math.GR, and math.RT | (1506.06290v1)

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.

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Authors (2)

  1. Uri Bader 
  2. Jan Dymara 

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