Erlanger Program

A program initiated by F. Klein in an 1872 lecture to describe geometric structures in terms of their automorphism groups.

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CG
asymptotes x^2 + y^3 = (x y)^2
domain and range of z = x^2 + y^2

References

Klein, F. "Vergleichende Betrachtungen über neuere geometrische Forschungen." 1872.Yaglom, I. M. Felix Klein and Sophus Lie: Evolution of the Idea of Symmetry in the Nineteenth Century. Boston, MA: Birkhäuser, 1988.

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Erlanger Program

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Weisstein, Eric W. "Erlanger Program." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ErlangerProgram.html

Erlanger Program

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References

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