Relation graphs of the split-sedenion algebra
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXII, Tome 482 (2019), pp. 87-113
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The paper introduces the Cayley–Dickson split-sedenion algebra. Exact expressions for annihilators and orthogonalizers of its zero divisors are obtained, and these results are applied in describing relation graphs of the split-sedenions in terms of their diameters and cliques.
@article{ZNSL_2019_482_a5,
author = {S. A. Zhilina},
title = {Relation graphs of the split-sedenion algebra},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {87--113},
publisher = {mathdoc},
volume = {482},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_482_a5/}
}
S. A. Zhilina. Relation graphs of the split-sedenion algebra. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXII, Tome 482 (2019), pp. 87-113. http://geodesic.mathdoc.fr/item/ZNSL_2019_482_a5/