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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 6, Pages 185–222 (Mi fpm1452)  
The BMV-conjecture over quaternions and octonions

A. S. Smirnov

M. V. Lomonosov Moscow State University
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Abstract: This paper investigates generalizations of the BMV-conjecture for quaternionic and octonionic matrices. For quaternions the correctness of the formulation is shown as well as its equivalence to the original conjecture for complex matrices. General properties of octonions and Hermitian matrices over them are examined for the BMV-conjecture formulation over octonions.
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 193, Issue 5, Pages 775–801
DOI: https://doi.org/10.1007/s10958-013-1497-0
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: A. S. Smirnov, “The BMV-conjecture over quaternions and octonions”, Fundam. Prikl. Mat., 17:6 (2012), 185–222; J. Math. Sci., 193:5 (2013), 775–801
Citation in format AMSBIB
\Bibitem{Smi12}
\by A.~S.~Smirnov
\paper The BMV-conjecture over quaternions and octonions
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 6
\pages 185--222
\mathnet{http://mi.mathnet.ru/fpm1452}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 193
\issue 5
\pages 775--801
\crossref{https://doi.org/10.1007/s10958-013-1497-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899422093}
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    		Фундаментальная и прикладная математика
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