Spherical harmonic polynomials for higher bundles

Details Spherical harmonic polynomials for higher bundles Spherical harmonic polynomials for higher bundles

2000-10-30

arxiv.org/abs/math/0010290v1

Mathematics

Differential Geometry

11 pages, LaTeX2e

Scientific paper

We give a method of decomposing bundle-valued polynomials compatible with the
action of the Lie group $Spin(n)$, where important tools are
$Spin(n)$-equivariant operators and their spectral decompositions. In
particular, the top irreducible component is realized as an intersection of
kernels of these operators.

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