An exposition of results of Fricke
General Mathematics
2007-05-23 v2 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.math/0402103,
title = {An exposition of results of Fricke},
author = {William M. Goldman},
journal= {arXiv preprint arXiv:math/0402103},
year = {2007}
}