- #1

- 764

- 57

I came across the following statement , which seems wrong to me.

Λ

^{μ}

_{ρ}= ( Λ

^{T})

_{ρ}

^{μ}

I have it on good authority (a previous post on this forum) that (Λ

^{T})

^{μ}

_{ν}= Λ

^{ν}

_{μ}so I am hoping that the first equation is wrong ? It looks like the inverse not the transpose ?

The equation Λ

^{μ}

_{ρ}η

_{μν}Λ

^{ν}

_{σ}= η

_{ρσ}is written in matrix form as Λ

^{T}η Λ = η

Why is one of the Lorentz matrices transposed ? It looks like it should be Λ η Λ = η

Thanks