Atomic Decompositions of Lie Characters and the Dominant Weight Poset

Felipe de Mattos Chafik Hindi, Waldeck Schutzer

Let $\mathfrak{g}$ be a complex semisimple Lie algebra and, for a dominant integral weight $\lambda$, let ${\Theta }_{\lambda }$ be the multiplicity-free sum of the weights of the irreducible module $V(λ…