Hesse's principle of transfer

In geometry, Hesse's principle of transfer () states that if the points of the projective line P¹ are depicted by a rational normal curve in Pⁿ, then the group of the projective transformations of Pⁿ that preserve the curve is isomorphic to the group of the projective transformations of P¹ (this is a generalization of the original Hesse's principle, in a form suggested by Wilhelm Franz Meyer). It was originally introduced by Otto Hesse in 1866, in a more restricted form. It influenced Felix Klein in the development of the Erlangen program. Since its original conception, it was generalized by many mathematicians, including Klein, Fano, and Cartan.

References

Original reference

• Hesse, L. O. (1866). "Ein Uebertragungsprinzip", Crelle's Journal.

Further reading

• Hawkins, Thomas (1988). "Hesses's principle of transfer and the representation of Lie algebras", Archive for History of Exact Sciences, 39(1), pp. 41–73.