Indice des sous-algèbres biparaboliques d'une algèbre de Lie simple classique

2019/12/05 by Bouhani, Meher
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1912.02876

Abstract

We generalize the results in [2] giving a reduction algorithm allowing to compute the index of seaweed subalgebras of classical simple Lie algebras. We thus are able to obtain the index of some interesting families of seaweed subalgebras and to give new examples of large classes of Frobenius Lie algebras among them.

Related

• Sur l'indice des sous-algèbres biparaboliques de \mathfrakgl(n)
• Meander graphs and Frobenius Seaweed Lie algebras
• Families of Frobenius seaweed Lie algebras
• On the index of certain Lie algebras
• Combinatorial index formulas for Lie algebras of seaweed type