Geodesic
Tensor Square of the Minimal Representation of O(p, q)
Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 48-55

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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 $O\left( p,q \right)$ 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.
DOI : 10.4153/CMB-2007-005-x
Mots-clés : 22E46 
Dvorsky, Alexander. Tensor Square of the Minimal Representation of O(p, q). Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 48-55. doi: 10.4153/CMB-2007-005-x
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     title = {Tensor {Square} of the {Minimal} {Representation} of {O(p,} q)},
     journal = {Canadian mathematical bulletin},
     pages = {48--55},
     year = {2007},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-005-x/}
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