 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/iii/paper-302/4/ii/solution

At first order,

Λ^{T} η Λ = η

gives

ω^{T} η + η ω = 0

. Therefore

ω_{μν} = η_{μ ρ} ω^{ρ}_{ν} = - ω_{νμ} .

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