Simple Decompositions of the Exceptional Jordan Algebra
Canadian mathematical bulletin, Tome 50 (2007) no. 3, pp. 469-473
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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.
Tvalavadze, M. V. Simple Decompositions of the Exceptional Jordan Algebra. Canadian mathematical bulletin, Tome 50 (2007) no. 3, pp. 469-473. doi: 10.4153/CMB-2007-046-7
@article{10_4153_CMB_2007_046_7,
author = {Tvalavadze, M. V.},
title = {Simple {Decompositions} of the {Exceptional} {Jordan} {Algebra}},
journal = {Canadian mathematical bulletin},
pages = {469--473},
year = {2007},
volume = {50},
number = {3},
doi = {10.4153/CMB-2007-046-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-046-7/}
}
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