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Tensor Square of the Minimal Representation of $O(p,q)$

Open Access article
 Printed: Mar 2007
  • Alexander Dvorsky
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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.
MSC Classifications: 22e46 show english descriptions unknown classification 22e46 22e46 - unknown classification 22e46

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