(Q3348988)

English

split-octonion

8-dimensional nonassociative normed composition algebra over the real numbers

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Statements

alternative algebra

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defining formula

{\begin{matrix}\times &i&j&k&l&li&lj&lk\\\hline i|&-1&-k&-j&-li&l&-lk&lj\\j|&-k&-1&i&-lj&lk&l&-li\\k|&j&-i&-1&-lk&-lj&li&l\\l|&li&lj&lk&1&i&j&k\\li|&-l&-lk&lj&-i&1&k&-j\\lj|&lk&-l&-li&-j&-k&1&i\\lk|&-lj&li&-l&-k&j&-i&1\end{matrix}}

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maintained by WikiProject

WikiProject Mathematics

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SplitFanoPlane.svg
444 × 372; 38 KB

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Identifiers

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Microsoft Academic ID

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