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math.DG2000
Spherical harmonic polynomials for higher bundles
Yasushi Homma
We give a method of decomposing bundle-valued polynomials compatible with the action of the Lie group , where important tools are -equivariant operators and their…
math.DG2000
Clifford Homomorphisms and Higher Spin Dirac Operators
Yasushi Homma
We present a generalization of the Clifford action for other representations spaces of , which is called the Clifford homomorphism. Their properties extend to the ones for…
math.DG2000
The Higher Spin Dirac Operators on 3-Dimensional Manifolds
Yasushi Homma
We study the higher spin Dirac operators on 3-dimensional manifolds and show that there exist two Laplace type operators for each associated bundle. Furthermore, we give lower boun…