# I Clarification about lorentz group

1. May 4, 2017

### Silviu

Hello! I read that for a boost, for which we have a matrix $\Lambda$ we must satisfy $\Lambda_\alpha^\mu g_{\mu \nu} \Lambda_\eta^\nu = g_{\alpha \beta}$. I am not sure I understand this. If we have a boost along the x axis the $\Lambda_0^0$ component is $\gamma$, but $\gamma^2 \neq 1 = g_{00}$. So how do I apply that formula? Thank you

2. May 4, 2017

### Staff: Mentor

Write it out explicitly in matrix form. Hint: the 0-0 component of the RHS does not depend solely on the 0-0 components of the matrices on the LHS. Remember the Einstein summation convention.