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Concept information

geometry > non-Euclidean geometry > hyperbolic geometry > coquaternion
number > hypercomplex number > coquaternion
mathematical physics > special relativity > coquaternion
algebra > abstract algebra > algebraic structure > coquaternion

Terme préférentiel

coquaternion  

Définition(s)

  • In abstract algebra, the split-quaternions or coquaternions form an algebraic structure introduced by James Cockle in 1849 under the latter name. They form an associative algebra of dimension four over the real numbers. After introduction in the 20th century of coordinate-free definitions of rings and algebras, it was proved that the algebra of split-quaternions is isomorphic to the ring of the 2×2 real matrices. So the study of split-quaternions can be reduced to the study of real matrices, and this may explain why there are few mentions of split-quaternions in the mathematical literature of the 20th and 21st centuries.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Split-quaternion)

Concept(s) générique(s)

Synonyme(s)

  • split-quaternion

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-SDPJ3509-Q

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RDF/XML TURTLE JSON-LD Dernière modif. 06/09/2023