Abstract
The solution of the eigenvalue problem of the Laplacian with the normal metric induced by the Killing form on homogeneous special unitary spaces SU(n+1)/SU(n) = S2n+1 is given. The corresponding inverse branching rule from SU(n) to SU(n+ 1) is obtained. AMS Subject Classification: 17B20, 22E46, 43A85, 81R05
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