Tensor square of the minimal representation of O(p, q)

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Abstract

In this paper, we study the tensor product π = σmin ⊗ σmin of the minimal representation σmin of O(p, q) with itself, and decompose π into a direct integral of irreducible representations. The decomposition is given in terms of the Plancherel measure on a certain real hyperbolic space.

Original languageEnglish (US)
Pages (from-to)48-55
Number of pages8
JournalCanadian Mathematical Bulletin
Volume50
Issue number1
DOIs
StatePublished - Mar 2007

ASJC Scopus subject areas

  • Mathematics(all)

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