2000/10/30 by Yasushi Homma, Homma, Yasushi
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Nonlinear Waves and Solitons #math.DG #math.RT #math.SP
paper · pdf · doi:10.48550/arxiv.math/0010290
11 pages, LaTeX2e
arxiv created 2000/10/30 · arxiv updated 2009/11/30
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.