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Jan 21, 2011 at 14:56 comment added Luis H Gallardo @Denis: Moreover, Carlitz's paper , sadly, says nothing about the eigenvectors.
Jan 10, 2011 at 10:07 comment added Luis H Gallardo @Denis: Previous comment solve the problem ?
Jan 10, 2011 at 10:00 comment added Luis H Gallardo @Denis: Thanks for nice idea. Your matrix $M$ is $\sqrt{n}$ times the conjugate transpose of the Fourier matrix $F$ that has order $4$. Carlitz obtained his characteristic polynomial. His eigenvalues are $1,-1,i,-i$ but I have not found how to track his eigenvectors.
Jan 10, 2011 at 9:44 history edited Denis Serre CC BY-SA 2.5
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Jan 10, 2011 at 8:42 history edited Denis Serre CC BY-SA 2.5
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Jan 10, 2011 at 7:56 history answered Denis Serre CC BY-SA 2.5