3 problems

Let $\mathfrak{g}$ be a simple Lie algebra of finite simply-laced type, let $W$ be its Weyl group, let $N$ be the associated maximal unipotent subgroup, and let…

Let $\mathfrak{g}$ be a Lie algebra of finite simply-laced type, let $W$ be its Weyl group, let $w_0$ be the longest element of $W$, let $N$ be the associated maximal unipotent sub…

Let $\mathfrak{g}$ be a Lie algebra of finite simply-laced type, let $N$ be the maximal unipotent subgroup associated with $\mathfrak{g}$, let $\Phi_{+}$ be its set of positive roo…