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It is shown that the SO(3) isometries of the Euclidean Taub-NUT space combinea linear three-dimensional representation with one induced by a SO(2) subgroup,giving the transformation law of the fourth coordinate under rotations. Thisexplains the special form of the angular momentum operator on this manifoldwhich leads to a new type of spherical harmonics and spinors.Comment: 16 pages, no figures, LaTeX2

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