Eigenspaces of the Spin Dirac operator over S^3

Details Eigenspaces of the Spin Dirac operator over S^3 Eigenspaces of the Spin Dirac operator over S^3

2011-03-21

arxiv.org/abs/1103.4097v2

Mathematics

Spectral Theory

20 pages

Scientific paper

We calculate the spectrum and a basis of eigenvectors for the Spin Dirac
operator over the standard 3-sphere. For the spectrum, we use the method of
Hitchin which we transfer to quaternions and explain in more detail. The
eigenbasis (in terms of polynomials) will be computed by means of
representations of sl(2,C).

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