History of Lorentz transformations

The history of Lorentz transformations comprises the development of linear transformations forming the Lorentz group or Poincaré group preserving the Lorentz interval − x 0 2 + ⋯ + x n 2 {\displaystyle -x_{0}^{2}+\cdots +x_{n}^{2}} and the Minkowski inner product − x 0 y 0 + ⋯ + x n y n {\displaystyle -x_{0}y_{0}+\cdots +x_{n}y_{n}} . In mathematics, transformations equivalent to what was later known as Lorentz transformations in various dimensions were discussed in the 19th century in relation to the theory of quadratic forms, hyperbolic geometry, Möbius geometry, and sphere geometry, which is connected to the fact that the group of motions in hyperbolic space, the Möbius group or projective special linear group, and the Laguerre group are isomorphic to the Lorentz group.

Source: Wikipedia — History of Lorentz transformations (CC BY-SA 4.0)