nLab
Galilean group

Contents

Contents

Idea

A 10 dimensional Lie group, the relativistic counterpart of which is the 10 dimensional Poincare group. Both include the isometry group of Euclidean space. Moreover, both have important linear representations including actions on tangents of trajectories (i.e. velocities), which - in case of the Galilean group - shift all but one (i.e. the spatial) components like a translation.

References

Last revised on March 10, 2020 at 03:17:29. See the history of this page for a list of all contributions to it.