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Relation Graphs of the Split-Sedenion Algebra

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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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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    S. A. Zhilina

  2. Moscow Institute of Physics and Technology, Moscow, Russia

    S. A. Zhilina

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  1. S. A. Zhilina
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Correspondence to S. A. Zhilina.

Additional information

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

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