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Aug 10, 2015 at 11:57 history edited Max Alekseyev CC BY-SA 3.0
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Aug 10, 2015 at 11:50 comment added Max Alekseyev @PeterMueller: Indeed, I was too quick in my derivation. I still believe though that there is a connection with (generalized?) continuants, it may be just deeper and not so straightforward than I anticipated.
Aug 10, 2015 at 11:33 comment added Peter Mueller @Max Alekseyev: I'm not sure that I believe in this approach. For your identity to hold, it does not suffice that diagonal matrices commute with each other, rather they should also commute with the matrices $\begin{pmatrix} -x^{-4j-1} & 1 \\ 1 & 0 \end{pmatrix}$ which isn't the case though.
Aug 9, 2015 at 14:38 history edited Max Alekseyev CC BY-SA 3.0
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Aug 9, 2015 at 14:32 history answered Max Alekseyev CC BY-SA 3.0