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Siberian Mathematical Journal

, Volume 43, Issue 1, pp 36–46 | Cite as

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

  • V. M. Gordienko
Article

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.

Keywords

Real Representation Representation Matrice Spinor Representation Matrix Entry Harmonic Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Hobson E. W., The Theory of Spherical and Ellipsoidal Harmonics [Russian translation], Izdat. Inostr. Lit., Moscow (1952).Google Scholar

Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • V. M. Gordienko
    • 1
  1. 1.Sobolev Institute of MathematicsRussia

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