Regular functionals on seaweed Lie algebras

Vincent E. Coll, Aria L. Dougherty

The index of a Lie algebra $\mathfrak{g}$ is defined by ind $\mathfrak{g}=$ ${\min }_{f\in {\mathfrak{g}}^{\ast }}\dim (\ker (B_f))$, where $f$ is an element of the linear dual $\mathfrak{g}^*…