Rank of a semisimple Lie algebra ( $ℓ$ )

The rank is the dimension of a Cartan subalgebra, equivalently the dimension of the real span of its root system.

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Centralizer lower bound for a root vector
Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 302 / 2 / Solution
Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 102 / 2 / d / Solution

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