A product formula for spherical representations of a group of automorphisms of a homogeneous tree, II

Cartwright, Donald; Kuhn, Gabriella

doi:10.1090/S0002-9947-00-02757-4

A product formula for spherical representations of a group of automorphisms of a homogeneous tree, II
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by Donald I. Cartwright and Gabriella Kuhn PDF

Trans. Amer. Math. Soc. 353 (2001), 2073-2090 Request permission

Abstract:

Let $G=\text {Aut}(T)$ be the group of automorphisms of a homogeneous tree $T$ and let $\pi$ be the tensor product of two spherical irreducible unitary representations of $G$. We complete the explicit decomposition of $\pi$ commenced in part I of this paper, by describing the discrete series representations of $G$ which appear as subrepresentations of $\pi$.

References

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