Noun
Lorentz group
(physics, mathematics) The group of all Lorentz transformations in spacetime.
Classification of the homogeneous Lorentz group From the invariance of the spacetime interval it follows immediately : and this matrix equation contains the general conditions on the Lorentz transformation to ensure invariance of the spacetime interval. Source: Internet
That is, in pure matrix notation, : This means exactly that covariant vectors (thought of as column matrices) transform according to the dual representation of the standard representation of the Lorentz group. Source: Internet
The full Lorentz group O(3, 1) also contains special transformations that are neither rotations nor boosts, but rather reflections in a plane through the origin. Source: Internet
The group of Lorentz transformations consisting only of boosts and rotations is called the "restricted Lorentz group", and is the special indefinite orthogonal group SO(3,1). Source: Internet
The set of Poincaré transformations also satisfy the properties of a group and is called the Poincaré group or inhomogeneous Lorentz group. Source: Internet