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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/iii/paper-102/4/d/solution

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Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 102 / 4 / d / Solution by

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

For

sl_{3} (C)

there are two fundamental weights. The corresponding Fundamental representations of sl3 are

V (ω_{1}) = C^{3}, V (ω_{2}) = Λ^{2} C^{3} ≅ (C^{3})^{*} .

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