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A comment on The Octonion Math That Could Underpin Physics. Parent comment

Re:The Octonion Math That Could Underpin Physics by anaphylactic on Friday July 20, 2018 @02:07PM (#17577374)
Yes, and this is a bit obvious, but reals, complex numbers, split complex numbers, quaternions, octonions, sedenions, can all be represented as matrices of the appropriate form.
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Re:The Octonion Math That Could Underpin Physics by gjm11 on Friday July 20, 2018 @02:47PM (#17577743)
That's at most sort-of-true. It's not possible to represent octonions by matrices of numbers in such a way that multiplication of matrices corresponds to multiplication of octonions, because matrix multiplication is associative and octonion multiplication isn't.
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Re:The Octonion Math That Could Underpin Physics by Iwan-Zotow on Friday July 20, 2018 @05:52PM (#17579278)
can't be true, unless there is some special matrix multiplication rule - afaik, standard matrix multiplication is associative
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Re:The Octonion Math That Could Underpin Physics by SubiculumCode on Saturday July 21, 2018 @03:41AM (#17581115)
An n-dimensional matrix of octonions
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