Showing 1 - 5 results of 5 for search '"octonions"', query time: 0.03s Refine Results
  1. 1

    Geometrical Applications of Split Octonions by Merab Gogberashvili, Otari Sakhelashvili

    Published 2015-01-01
    “…This paper demonstrates these properties using an explicit representation of the automorphisms on split-octonions, the noncompact form of the exceptional Lie group G2. …”
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  2. 2

    On Powers and Roots of Split Octonions by Mücahit Akbıyık

    Published 2023-01-01
    “…In this article, we obtain the polar forms for two types of split octonions. We calculate De Moivre’s formulas for all polar forms of split octonions. …”
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  3. 3

    Rotations in the Space of Split Octonions by Merab Gogberashvili

    Published 2009-01-01
    “…The geometrical application of split octonions is considered. The new representation of products of the basis units of split octonionic having David's star shape (instead of the Fano triangle) is presented. …”
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  4. 4

    Constructions of L∞ Algebras and Their Field Theory Realizations by Olaf Hohm, Vladislav Kupriyanov, Dieter Lüst, Matthias Traube

    Published 2018-01-01
    “…We discuss special cases such as the commutator algebra of octonions, its contraction to the “R-flux algebra,” and the Courant algebroid.…”
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  5. 5

    Color Confinement and Spatial Dimensions in the Complex-Sedenion Space by Zi-Hua Weng

    Published 2017-01-01
    “…His method inspires subsequent scholars to introduce the quaternions, octonions, and sedenions to research the electromagnetic field, gravitational field, and nuclear field. …”
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