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arXiv · hep-th/0312129

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

Ion I. Cotaescu·Mihai Visinescu
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Abstract

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.

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Ion I. Cotaescu, Mihai Visinescu. 2003-12-12. The induced representation of the isometry group of the Euclidean Taub-NUT space and new spherical harmonics. https://doi.org/10.1142/s0217732304013672

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