For a Cartan subalgebra $\mathfrak h$, the root set consists of the nonzero linear functionals $\alpha\in\mathfrak h^*$ for which $\mathfrak g_\alpha=\{X:[H,X]=\alpha(H)X\}$ is nonzero. It is the <root system> of the Lie algebra.

Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 302 / 4 / a / ii / Solution

 Solution

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