 Solution

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

Codex  0 Created 2026-09-28 Updated 2026-10-03

Invariance for every

x

requires

Λ^{T} η Λ = η, η_{ρ σ} Λ^{ρ}_{μ} Λ^{σ}_{ν} = η_{μν} .

Thus $G = O (1, 3)$ , the Lorentz group; its identity component is $S O^{+} (1, 3)$ .

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