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Spherical harmonic polynomials for higher bundles

Yasushi Homma
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Abstract

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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Yasushi Homma. 2000-10-30. Spherical harmonic polynomials for higher bundles. https://arxiv.org/abs/math/0010290

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