Octonion algebra
id:
octonion-algebra-300-9381578
title:
Octonion algebra
text:
In mathematics, an octonion algebra or Cayley algebra over a field F is a composition algebra over F that has dimension 8 over F. In other words, it is a 8-dimensional unital non-associative algebra A over F with a non-degenerate quadratic form N (called the norm form) such that for all x and y in A. The most well-known example of an octonion algebra is the classical octonions, which are an octonion algebra over R, the field of real numbers. The split-octonions also form an octonion algebra over
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Octonion_algebra
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date modified:
2024-01-05T08:14:46Z
main entity:
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