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Is there any textbook or paper about Arithmetic of Octonion Algebras or Octonion Algebras constructed over number fields? I know J. Voight book and K. Martin notes about quaternion algebras but I was thinking about a generalization using Octonions.

More than that: Is it possible to define Orders and Maximal Orders over an octonion algebra? Or these concepts just make sense over associative algebras?

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  • $\begingroup$ Possibly you'll find information here: arxiv.org/abs/1810.09979 (Composition algebras by A. Elduque) $\endgroup$
    – YCor
    Commented Jan 9, 2020 at 22:02
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    $\begingroup$ I'm voting to close this question as off-topic because it was simultaneously asked at Mathematics (no cross-posting, please). If after a week there is no answer there, it may be asked here. (Update: there was an answer at math.se: see math.stackexchange.com/questions/3503269/…) $\endgroup$
    – Todd Trimble
    Commented Jan 9, 2020 at 22:22

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