An exposition of results of Fricke
classification
🧮 math.GM
math.RA
keywords
affineclassescomplexconjugacyderivedelementaryelementsexposition
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This paper gives an elementary proof of the result that the conjugacy classes of pairs (X,Y) of unimodular 2x2 complex matrices is an affine 3-space, parametrized by the traces of X, Y and XY. Identities for triples of elements of SL(2,C) are also derived.
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