Vol. 173, No. 1, 1996

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Tensor products with anisotropic principal series representations of free groups

Carlo Pensavalle and Tim Steger

Vol. 173 (1996), No. 1, 181–202
Abstract

Let τ be the tensor product of an anisotropic principal series representation of a free group Γ, not an endpoint representation, with an irreducible unitary finite dimensional Γ-representation. Usually τ is irreducible and has exactly two perfect boundary realizations. In a certain well specified anomalous case τ splits into two irreducible components and each component has exactly one boundary realization, which is not perfect.

Mathematical Subject Classification 2000
Primary: 22D10
Secondary: 20E05, 60J50, 60J15
Milestones
Received: 6 June 1993
Revised: 7 April 1994
Published: 1 March 1996
Authors
Carlo Pensavalle
Tim Steger