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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 11, Pages 3–11 (Mi ivm8389)  
This article is cited in 1 scientific paper (total in 1 paper)

A method of algebraic extension of the Lagrangian of weak interactions to non-associative algebra

V. Yu. Dorofeev

Chair of Higher Mathematics, St.-Petersburg State University of Economics and Finance, St.-Petersburg, Russia
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Abstract: We propose an algebraic approach to the extension of the Lagrangian of weak interactions onto a non-associative algebra. A special feature of the proposed method is the use of matrix representations (rather than vector ones) for physical fields and their interactions. We construct the Lagrangian of material and interaction fields on the introduced algebra.
Keywords: quantum field theory, Cayley octaves, octonions, weak interactions, non-associativity.
Received: 21.09.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 11, Pages 1–8
DOI: https://doi.org/10.3103/S1066369X11110016
Bibliographic databases:
Document Type: Article
UDC: 517.2
Language: Russian
Citation: V. Yu. Dorofeev, “A method of algebraic extension of the Lagrangian of weak interactions to non-associative algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 11, 3–11; Russian Math. (Iz. VUZ), 55:11 (2011), 1–8
Citation in format AMSBIB
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\by V.~Yu.~Dorofeev
\paper A method of algebraic extension of the Lagrangian of weak interactions to non-associative algebra
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 11
\pages 3--11
\mathnet{http://mi.mathnet.ru/ivm8389}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2963174}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 11
\pages 1--8
\crossref{https://doi.org/10.3103/S1066369X11110016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856264734}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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