ad-nilpotent $\mathfrak{b}$-ideals in sl(n) having a fixed class of nilpotence: combinatorics and enumeration

George E. Andrews, Christian Krattenthaler, Luigi Orsina +1

We study the combinatorics of ad-nilpotent ideals of a Borel subalgebra of $sl(n+1,\mathbb{C})$. We provide an inductive method for calculating the class of nilpotence of these ideals…