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Dec 6, 2012 at 22:37 comment added Brendan McKay I'm sure that the comparative awkwardness of notation for hypermatrices at least partly explains their lack of popularity amongst mathematicians, and lack of popularity leads to lack of theory. So I think this answer is partly correct, but it needs to be combined with answers like Florian's that expose genuine features that differ for $D=2$ and $D>2$.
Dec 6, 2012 at 20:07 comment added Gil Kalai I do not think this is the answer.
Dec 2, 2010 at 19:34 comment added Pietro Majer And the fact that we are speaking of this now, when computers make it easier to treat hypermatrices, seems to me a sort of confirm of ypur thesis.
Dec 2, 2010 at 18:22 comment added Allen Knutson I really think this is the answer.
Dec 2, 2010 at 16:48 history edited Peter LeFanu Lumsdaine CC BY-SA 2.5
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Dec 2, 2010 at 16:34 history answered Peter LeFanu Lumsdaine CC BY-SA 2.5