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Matrix Entries of Real Representations of the Groups O(3) and SO(3)

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Abstract

We indicate bases for spinor representations of the groups O(3), SO(3), and SU(2) in which the representation matrices are real-valued. The matrix entries in these bases are calculated. We describe the transformation of classical orthogonal harmonic polynomials in three-dimensional space by these matrix entries.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Russia

    V. M. Gordienko

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  1. V. M. Gordienko
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Gordienko, V.M. Matrix Entries of Real Representations of the Groups O(3) and SO(3). Siberian Mathematical Journal 43, 36–46 (2001). https://doi.org/10.1023/A:1013816403253

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  • DOI: https://doi.org/10.1023/A:1013816403253

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