The multiplication table is different from that of the octonions what I know. I tried to find suitable basis change for which the multiplication table coincide with wikipedia, but no success.
2026-03-25 09:23:58.1774430638
Why this is the octonions?
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1
See the article for octonion algebra. In short, the wikipedia link in your question is about the classical octonions, whereas the Humphreys' handles the construction of split-octonions due to Max August Zorn.