Mathematics – Spectral Theory
Scientific paper
2011-03-21
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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