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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 1, Pages 51–63
(Mi smj1286)
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This article is cited in 8 scientific papers (total in 8 papers)
Matrix entries of real representations of the groups $O(3)$ and $SO(3)$
V. M. Gordienko Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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.
Received: 14.09.2001
Citation:
V. M. Gordienko, “Matrix entries of real representations of the groups $O(3)$ and $SO(3)$”, Sibirsk. Mat. Zh., 43:1 (2002), 51–63; Siberian Math. J., 43:1 (2002), 36–46
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https://www.mathnet.ru/eng/smj1286 https://www.mathnet.ru/eng/smj/v43/i1/p51
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