nLab boost

Idea

The elements in the Lorentz group $O(d-1,1)$ in the image of the special orthogonal group $SO(d-1) \hookrightarrow O(d-1,1)$ are rotations in space. The further elements in the special Lorentz group $SO(d-1,1)$, which mathematically are “hyperbolic rotations” in a space-time plane, are called boosts in physics.

Related concepts

• translation, reflection, rotation

References

• Wikipedia