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- Positive root
- Root system
- Root-space decomposition
- Cartan subalgebra
- Semisimple Lie algebra
- Lie algebra
- Lie theory
- Diagonal dominance
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- Casimir eigenvalue
- Freudenthal multiplicity formula
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 3 / 2 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 3 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 2 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 102 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 102 / 4 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 102 / 4 / b / Solution
- Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 102 / 5 / b / Solution
- Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 102 / 3 / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 102 / 4 / i / Solution
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