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arXiv 2000-10-30 0 views

Spherical harmonic polynomials for higher bundles

Homma, Yasushi

Original · EN

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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