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Questions about non-associative algebras other than Lie algebras.

27 votes
Accepted

The octonions on a bad day

$\DeclareMathOperator\Tr{Tr} $Suppose that $k$ is a field with $\operatorname{char}(k) \neq 2$. Let's agree that an "octonion algebra" over $k$ is an 8-dimensional unital $k$-algebra $A$, endowed wit …
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