Intertwinors on Functions over the Product of Spheres

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

10.3842/SIGMA.2011.003

We give explicit formulas for the intertwinors on the scalar functions over
the product of spheres with the natural pseudo-Riemannian product metric using
the spectrum generating technique. As a consequence, this provides another
proof of the even order conformally invariant differential operator formulas
obtained earlier by T. Branson and the present author.

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