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THE INDUCED REPRESENTATION OF THE ISOMETRY GROUP OF THE EUCLIDEAN TAUB–NUT SPACE AND NEW SPHERICAL HARMONICS

ION I. COTĂESCU, MIHAI VISINESCU
2004 Modern Physics Letters A  
It is shown that the SO(3) isometries of the Euclidean Taub-NUT space combine a linear three-dimensional representation with one induced by a SO(2) subgroup, giving the transformation law of the fourth coordinate under rotations. This explains the special form of the angular momentum operator on this manifold which leads to a new type of spherical harmonics and spinors.
doi:10.1142/s0217732304013672 fatcat:safnnmknlfdetaw7xvlmetkiei