Isomorphic induced modules and Dynkin diagram automorphisms of semisimple Lie algebras

Jérémie Guilhot, Cédric Lecouvey

Consider a simple Lie algebra $\mathfrak{g}$ and $\overline{\mathfrak{g}}$ a Levi subalgebra. Two irreducible $\overline{% \mathfrak{g}}$-modules yield isomor…