and , and two points , , the Lorentz group is the set of all the transformations between the two reference frames that preserve the speed of light propagating between the two points:
: In matrix form these are all the linear transformations such that:
: These are then called Lorentz transformations.

Mathematical definition

Mathematically, the Lorentz group may be described as the indefinite orthogonal group

1.Previous
3.Next