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Simple Decompositions of the Exceptional Jordan Algebra

Published online by Cambridge University Press:  20 November 2018

M. V. Tvalavadze
M. V. Tvalavadze*
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C 5S7. e-mail: marina@math.mun.ca
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Abstract

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This paper presents some results on the simple exceptional Jordan algebra over an algebraically closed field $\Phi$ of characteristic not 2. Namely an example of simple decomposition of $H\left( {{O}_{3}} \right)$ into the sumof two subalgebras of the type $H\left( {{Q}_{3}} \right)$ is produced, and it is shown that this decomposition is the only one possible in terms of simple subalgebras.

Keywords

17C40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 3 , 01 September 2007 , pp. 469 - 473
Copyright
Copyright © Canadian Mathematical Society 2007

References

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