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Dec 10, 2011 at 5:51 comment added darij grinberg Some computations plus handwaving seem to tell me that this expression, seen as a homogeneous polynomial in the entries of the matrix, is irreducible when $n=3$. I could post the argument here, but I'd prefer it if you tell me first whether the problem is still open and this negative result of any interest (none of these is clear to me, given that the question is 3 months old...).
Sep 21, 2011 at 8:46 history asked Dan Petersen CC BY-SA 3.0