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1. CMB 2007 (vol 50 pp. 48)

Dvorsky, Alexander
Tensor Square of the Minimal Representation of $O(p,q)$
In this paper, we study the tensor product $\pi=\sigma^{\min}\otimes \sigma^{\min}$ of the minimal representation $\sigma^{\min}$ of $O(p,q)$ with itself, and decompose $\pi$ into a direct integral of irreducible representations. The decomposition is given in terms of the Plancherel measure on a certain real hyperbolic space.


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