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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 236, Pages 183–191 (Mi znsl21)  
This article is cited in 2 scientific papers (total in 2 papers)

Trigonometrical algebras

P. A. Terekhin

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (142 kB) Citations (2)
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Abstract: Euclidean $n$-dimensional spaces that have an analog of a vector product, i.e., a bilinear binary operation satisfying the identity $|x\cdot y|^2+(x,y)^2=|x|^2\cdot|y|^2$ ($(\cdot,\cdot)$ is a scalar product). It is clarified for which $n$ such a product exists.
Received: 21.11.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 95, Issue 2, Pages 2156–2160
DOI: https://doi.org/10.1007/BF02169977
Bibliographic databases:
UDC: 512.86
Language: Russian
Citation: P. A. Terekhin, “Trigonometrical algebras”, Problems in the theory of representations of algebras and groups. Part 5, Zap. Nauchn. Sem. POMI, 236, POMI, St. Petersburg, 1997, 183–191; J. Math. Sci. (New York), 95:2 (1999), 2156–2160
Citation in format AMSBIB
\Bibitem{Ter97}
\by P.~A.~Terekhin
\paper Trigonometrical algebras
\inbook Problems in the theory of representations of algebras and groups. Part~5
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 236
\pages 183--191
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl21}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754459}
\zmath{https://zbmath.org/?q=an:0927.17003}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 95
\issue 2
\pages 2156--2160
\crossref{https://doi.org/10.1007/BF02169977}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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