Exercise 1, § 2

Lie Groups and Lie Algebras, VI

Let $x \in V$ and let $W(x)$ be the subgroup of $W(R)$ consisting of the elements $w$ such that

w(x) - x \in Q(R).

Show that

W(x)

is generated by reflections. (Use the affine Weyl group of

R^-

Solution

No solution has been written yet.