A uniform bound on the nilpotency degree of certain subalgebras of Kac-Moody algebras

Pierre-Emmanuel Caprace

Let $\mathfrak{g}$ be a Kac-Moody algebra and ${\mathfrak{b}}_1,{\mathfrak{b}}_2$ be Borel subalgebras of opposite signs. The intersection $\mathfrak{b} = \mathfrak{b}_1 \cap \mathfra…