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


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.


Real Representation Representation Matrice Spinor Representation Matrix Entry Harmonic Polynomial 
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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

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

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