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Feb 28, 2023 at 4:28 comment added Allen Knutson "Reduced" as in "reduced scheme", i.e., every polynomial function that vanishes on the set of commuting pairs is a combination of the entries of AB-BA.
Feb 27, 2023 at 3:03 comment added Galen "Reduced" as in reduced row echelon form?
Jun 10, 2010 at 6:40 comment added Victor Protsak Sadly, people rely on technology so much nowadays that it gets increasingly unlikely that it will $\textit{ever}$ be proved.
Jun 6, 2010 at 21:13 comment added Charles Siegel I remember Etingof thinking it was open as recently as 2006 in his lectures on Calogero-Moser systems. Also, it's fairly easy to check that in small cases the commutator scheme is reduced, though getting it in general seems to be beyond current technology.
May 27, 2010 at 1:41 history answered Allen Knutson CC BY-SA 2.5