Matrix Entries of Real Representations of the Groups O(3) and SO(3)
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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.
KeywordsReal Representation Representation Matrice Spinor Representation Matrix Entry Harmonic Polynomial
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