 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/iii/paper-102/3/a/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Every diagonal element of the stated Cartan subalgebra has the form

diag (0, t_{1}, t_{2}, - t_{1}, - t_{2}) .

Let

ε_{i}

extract

t_{i}

Φ = {\pm ε_{1}, \pm ε_{2}, \pm ε_{1} \pm ε_{2}} .

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