Question: help solve this Lie algebra problem. reference is Humphreys Lie algebra. (c) Humphreys 8.1: Show that h := the set of diagonal matrices in our

help solve this Lie algebra problem. reference is Humphreys Lie algebra.

(c) Humphreys 8.1: Show that h := the set of diagonal matrices in our algebra 502n+1 (C) form a maximal toral subalgebra, of dimension n. (Cf. Humphreys, exercise 2.8.) (d) Determine the roots and root spaces with respect to h

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