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Showing 1 to 2 of 2 for “"Sedenion"”.
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Sedenion extension loops and frames of hypercomplex 2[superscript n]-ons
… with major emphasis on the 16 dimensional sedenions. In Chapter 1, a literature review on current and past work on the area of hypercomplex numbers is given. Basic definitions to be used in the rest of the work are given. We introduce the sedenions and the different doubling formulas for …
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Cayley-Dickson Loops
… complex numbers, quaternions, octonions, sedenions). Starting at the octonions, Cayley-Dickson algebras and loops become nonassociative, which presents a significant challenge in their study.</p> <p>We begin by describing basic properties of the Cayley–Dickson loops <em>Q<sub>n</sub></em>. …