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Irreducibility of the analytic continuation of the principal series of a free group
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper it is proved that the principal series of representations of Γ = Z2*…*Z2 may be analytically continued to give uniformly bounded representations on the same Hilbert space, and that these representations are irreducible. Further, the reducibility of the restrictions to Γ ⊂ SL(2, Qp) of the irreducible unitary representations of SL(2, Qp) is examined.
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- Research Article
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- Copyright © Australian Mathematical Society 1987
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