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Results tagged with octonions
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user 12858
Octonions form a 8-dimensional normed division algebra constructed over the reals. They can be seen as a non-associative (alternative) extension of the quaternions. They have been first defined and studied in the 19th century by John Graves and Arthur Cayley. There are several variants (such as split-octonions) and strong relations with Lie Groups and projective geometry.
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Chirality of octonion algebras
Perhaps this is more a question about the Fano plane than about the (real) octonions. … An explicit reference where the connection with octonions is worked out in more detail is de Traubenberg and Slupinski - Commutation relations of $\mathfrak g_2$ and the incidence geometry of the Fano …
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