Ellipticity of some higher order conformally invariant differential operators (Q2113246)

The authors prove the ellipticity of higher-order conformally invariant differential operators for the higher spin spaces in the Euclidean space. They introduce the product formulas for these operators, by using the product formulas, the authors propose a method similar to the high spin Laplace operator to exploit the structure of the conformal Lie algebra and branching rules both in the case of bosons and fermions.