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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 1, Pages 51–63 (Mi smj1286)  

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
Full-text PDF (188 kB) Citations (8)
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
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 1, Pages 36–46
DOI: https://doi.org/10.1023/A:1013816403253
Bibliographic databases:
UDC: 512.547.212
Language: Russian
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
Citation in format AMSBIB
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\by V.~M.~Gordienko
\paper Matrix entries of real representations of the groups $O(3)$ and $SO(3)$
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 1
\pages 51--63
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\zmath{https://zbmath.org/?q=an:1008.43006}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 1
\pages 36--46
\crossref{https://doi.org/10.1023/A:1013816403253}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173897400005}
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  • https://www.mathnet.ru/eng/smj/v43/i1/p51
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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