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- W2053585832 abstract "We discuss the converse of a theorem of Potter stating that if the matrix equation AB = ω BA is satisfied with ω a primitive q th root of unity, then A q + B q = ( A + B ) q . We show that both conditions have to be modified to get a converse statement and we present a characterization when the converse holds for these modified conditions and q = 3 and a conjecture for the general case. We also present some further partial results and conjectures." @default.
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- W2053585832 date "2009-04-01" @default.
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- W2053585832 title "A note on Potter’s theorem for quasi-commutative matrices" @default.
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- W2053585832 doi "https://doi.org/10.1016/j.laa.2008.08.005" @default.
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