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Question: the set of lorentz transformations in a given direction quotboostsquot...

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The set of Lorentz transformations in a given direction (boosts) forms a group. Consider boosts in the x direction. Let (u) denote the Lorentz transformation matrix for a boost of velocitv vi. (a) Show that the product of two boosts, of velocities vi i and v2i, is also a boost, corresponding to velocity (vi + v2)/(1 + vl v2/c (b) What is the inverse of the boost of velocity vi? (The group of Lorentz transformations in all directions, and rotations, is called the Lorentz group.)

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