The paper introduces the Cayley–Dickson split-sedenion algebra. Exact expressions for the 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.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 482, 2019, pp. 87–113.
This work was supported by the Russian Science Foundation (project No. 17-11-01124).
Translated by S. A. Zhilina.
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Zhilina, S.A. Relation Graphs of the Split-Sedenion Algebra. J Math Sci 249, 167–184 (2020). https://doi.org/10.1007/s10958-020-04930-x
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DOI: https://doi.org/10.1007/s10958-020-04930-x