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During my reading I met with,
(Λ^{-1})^{μ}_{ν} = Λ_{ν}^{μ} ≡ η_{μρ}Λ^{ρ}_{σ}η^{σν}.
Is it correct to say that η raises and lowers the indices of Λ giving Λ_{μ}^{ν}, which, in turn, will give (Λ^{-1})^{μ}_{ν} = Λ_{μ}^{ν}?
Thanks for any help.
(Λ^{-1})^{μ}_{ν} = Λ_{ν}^{μ} ≡ η_{μρ}Λ^{ρ}_{σ}η^{σν}.
Is it correct to say that η raises and lowers the indices of Λ giving Λ_{μ}^{ν}, which, in turn, will give (Λ^{-1})^{μ}_{ν} = Λ_{μ}^{ν}?
Thanks for any help.