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Tensor Square of the Minimal Representation of $O(p,q)$ |
Canad. Math. Bull. 50(2007), 48-55
Published:2007-03-01
Printed: Mar 2007
Printed: Mar 2007
- Alexander Dvorsky
Abstract
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 - unknown classification 22e46 |