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number > hypercomplex number > sedenion
... > algebra > abstract algebra > algebraic structure > algebra over a field > non-associative algebra > sedenion

Terme préférentiel

sedenion  

Définition(s)

  • In abstract algebra, the sedenions form a 16-dimensional noncommutative and nonassociative algebra over the real numbers, usually represented by the capital letter S, boldface S or blackboard bold . They are obtained by applying the Cayley–Dickson construction to the octonions, and as such the octonions are isomorphic to a subalgebra of the sedenions. Unlike the octonions, the sedenions are not an alternative algebra. Applying the Cayley–Dickson construction to the sedenions yields a 32-dimensional algebra, sometimes called the 32-ions or trigintaduonions. It is possible to continue applying the Cayley–Dickson construction arbitrarily many times.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Sedenion)

Concept(s) générique(s)

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URI

http://data.loterre.fr/ark:/67375/PSR-GD2PCT10-B

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RDF/XML TURTLE JSON-LD Date de création 24/08/2023, dernière modif. 24/08/2023