Symmetry Breaking Operators for Irreducible Representations with Infinitesimal Character ρ: Proof of Theorems4.1 and 4.2
In the first half of this chapter, we give a proof of Theorems 4.1 and 4.2 that determine the dimension of the space of symmetry breaking operators from irreducible representations Π of G = O(n + 1, 1) to irreducible representations π of the subgroup G′ = O(n, 1) when both Π and π have the trivial infinitesimal characters ρ, or equivalently by Theorem 2.20 (2).
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