Ok so this is a fairly stupid question I'm sure, but I'm not quite clear about the following:(adsbygoogle = window.adsbygoogle || []).push({});

Given a Lorentz transformation we require the following to hold:

[tex]g_{\sigma\rho}\Lambda^{\sigma}_{\mu}\Lambda^{\rho}_{\nu} = g_{\mu\nu}[/tex]

In other notation this is written:

[tex]\Lambda^{T}g\Lambda = g[/tex]

where [tex]\Lambda \in O(1,3)[/tex] and g is the Minkowski metric.

The first use of tensor notation is fine, however I am unsure why in the second expression the first [tex]\Lambda[/tex] is transposed?

Any help greatly appreciated,

Alex

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# Explicit and Implicit Matrix Notation Question

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