Exercise 8, § 3

Lie Groups and Lie Algebras, I, 87

Let $g$ be a real Lie algebra. The multilinear form

(x_1, \ldots, x_n) \mapsto \operatorname{Tr}(\operatorname{ad} x_1 \circ \operatorname{ad} x_2 \circ \cdots \circ \operatorname{ad} x_n)

on $g^n$ is invariant.

Solution

No solution has been written yet.