up:: Lorentz Group
A Lorentz Transformation belongs to the Restricted Lorentz Group if it’s in the Proper Lorentz Group and if does not flip the direction of time (i.e. ).
up:: Lorentz Group
A Lorentz Transformation Λ belongs to the Restricted Lorentz Group SO+(1,3) if it’s in the Proper Lorentz Group and if does not flip the direction of time (i.e. Λ00≥0).