Sur l'indice des sous-algèbres biparaboliques de $\mathfrak{gl}(n)$

Abstract

We give some properties on the index of seaweed subalgebras of the complex Lie algebra $\mathfrak{gl}(n)$ which allow to obtain formulas for the index of some interesting classes of this family and to give new families of Frobenius Lie algebras.

in French