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Feb 2, 2016 at 20:26 comment added Māris Ozols This phenomenon has some interesting applications in quantum information which I was not aware of at the time I asked the question (see dx.doi.org/10.1103/PhysRevA.65.022316).
Aug 22, 2015 at 20:12 answer added Name timeline score: 4
Aug 19, 2015 at 20:52 vote accept Māris Ozols
Aug 19, 2015 at 15:07 comment added Māris Ozols I have to take this back - octonions indeed work (see the answer by Adam Przeździecki).
Aug 19, 2015 at 12:32 answer added Adam Przeździecki timeline score: 4
Aug 19, 2015 at 11:05 answer added Ehud Meir timeline score: 5
Aug 19, 2015 at 10:07 comment added Māris Ozols I disagree. I can't use octonions for $d=8$ since they are not associative and thus can't be represented by matrices (because matrix multiplication is associative).
Aug 19, 2015 at 9:30 comment added Qiaochu Yuan I think associativity is irrelevant. What you want is probably closer to en.wikipedia.org/wiki/Composition_algebra.
Aug 19, 2015 at 9:04 history edited Māris Ozols CC BY-SA 3.0
more accurate title
Aug 19, 2015 at 8:08 history asked Māris Ozols CC BY-SA 3.0