English

Spherical harmonic polynomials for higher bundles

Differential Geometry 2007-05-23 v1 Representation Theory Spectral Theory

Abstract

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

Keywords

Cite

@article{arxiv.math/0010290,
  title  = {Spherical harmonic polynomials for higher bundles},
  author = {Yasushi Homma},
  journal= {arXiv preprint arXiv:math/0010290},
  year   = {2007}
}

Comments

11 pages, LaTeX2e