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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 4, Pages 890–901 (Mi smj2464)  
This article is cited in 6 scientific papers (total in 6 papers)

Differentiably simple Jordan algebras

A. A. Popovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (346 kB) Citations (6)
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Abstract: We prove that each exceptional differentiably simple Jordan algebra over a field of characteristic 0 is an Albert ring whose elements satisfy a cubic equation with the coefficients in the center of the algebra. If the characteristic of the field is greater than 2 then such an algebra is the tensor product of its center and a central exceptional simple $27$-dimensional Jordan algebra. Some remarks made on special algebras.
Keywords: Jordan algebra, derivation, differentiably simple algebra.
Received: 04.07.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 4, Pages 713–721
DOI: https://doi.org/10.1134/S0037446613040113
Bibliographic databases:
Document Type: Article
UDC: 512.554.7
Language: Russian
Citation: A. A. Popov, “Differentiably simple Jordan algebras”, Sibirsk. Mat. Zh., 54:4 (2013), 890–901; Siberian Math. J., 54:4 (2013), 713–721
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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