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Geometrical Applications of Split Octonions
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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On Powers and Roots of Split Octonions
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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Rotations in the Space of Split Octonions
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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Constructions of L∞ Algebras and Their Field Theory Realizations
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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Color Confinement and Spatial Dimensions in the Complex-Sedenion Space
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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