This is probably a newbie question (but I guess is what I am right now) but I can't understand de difference between Galilean Boost and Galilean Translation.

I thought a boost was something like an S' frame of reference with constant velocity in relation to an S frame of reference. Mathematically:

x' = x - vt; y' = y; z' = z; t' = t

so a boost would be an uniform motion between these to frame of reference and a translation would be an S'' frame of reference "fixed" but the origins dislocated in relation with S.

The thing is: I found in pdf files (and wikipedia) that these equations of a galilean transformation is actually a translation. Is that right?

Can you guys have any tips to understand that?

This is probably a newbie question (but I guess is what I am right now) but I can't understand de difference between Galilean Boost and Galilean Translation.

I thought a boost was something like an S' frame of reference with constant velocity in relation to an S frame of reference. Mathematically:

$$ x' = x - vt; y' = y; z' = z; t' = t$$

so a boost would be an uniform motion between these to frame of reference and a translation would be an S'' frame of reference "fixed" but the origins dislocated in relation with S.

The thing is: I found in pdf files (and wikipedia) that these equations of a galilean transformation is actually a translation. Is that right?