Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 7 (2011), 003, 7 pages      arXiv:1007.5069

Intertwinors on Functions over the Product of Spheres

Doojin Hong
Department of Mathematics, University of North Dakota, Grand Forks ND 58202, USA

Received August 23, 2010, in final form December 30, 2010; Published online January 06, 2011

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.

Key words: intertwinors; conformally invariant operators.

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