The induced representation of the isometry group of the Euclidean Taub-NUT space and new spherical harmonics

Ion I. Cotaescu, Mihai Visinescu

Published 2003-12-12Version 1

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.