Help with Notation: (Λ-1)μν=Λνμ ≡ ημρΛρσησν

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The discussion centers on the notation (Λ-1)μν = Λνμ ≡ ημρΛρσησν, specifically addressing the role of the metric tensor η in raising and lowering indices of the tensor Λ. It is established that η indeed modifies the indices of Λ, leading to the conclusion that (Λ-1)μν = Λμν is valid under correct index positioning. The participants highlight the necessity of verifying the arrangement of indices to avoid misprints, particularly suggesting that the indices μ and ν in η may need to be swapped for accuracy.

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During my reading I met with,

-1)μν = Λνμ ≡ ημρΛρσησν.

Is it correct to say that η raises and lowers the indices of Λ giving Λμν, which, in turn, will give (Λ-1)μν = Λμν?

Thanks for any help.
 
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The indices are not balanced. Check again the exact positioning.
 
Thanks Dextercioby for your help.
Does that mean that there is a misprint in what I read and the μ and the ν of the η must be exchanged?
 

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