I was thinking that if i have for example a boost in the direction of x, then the boost should be equivalent to an hyperbolic rotation of the y and z axes in the other direction. I don't know if it's true or not. Then I want to know if somebody knows this result or why is false? I was thinking also that is possible to make an homomorphism between some subgroup of the space rotations by complex angle (six parameter group) and some subgroup of the Lorentz transform (six parameter group). Also i don't know if that homomorphism is possible and I'm too lazy like to try to do the proof it myself. If somebody knows why is impossible to make such homomorphism or if there is some theorem that proof this, please let me know. Thanks in advance.