B-orbits in abelian nilradicals of types B, C and D: towards a conjecture of Panyushev

Nurit Barnea, Anna Melnikov

Let $B$ be a Borel subgroup of a semisimple algebraic group $G$ and let $\mathfrak{m}$ be an abelian nilradical in $\mathfrak{b}=\mathrm{Lie}(B)$. Using subsets of strongly orthogonal…