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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 6, Pages 185–222
(Mi fpm1452)
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The BMV-conjecture over quaternions and octonions
A. S. Smirnov M. V. Lomonosov Moscow State University
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.
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
Linking options:
https://www.mathnet.ru/eng/fpm1452 https://www.mathnet.ru/eng/fpm/v17/i6/p185
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Abstract page: | 297 | Full-text PDF : | 171 | References: | 36 | First page: | 2 |
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