B-orbits of square zero in nilradical of the symplectic algebra

Nurit Barnea, Anna Melnikov

Let $S{P}_n(\mathbb{C})$ be the symplectic group and ${\mathfrak{sp}}_n(\mathbb{C})$ its Lie algebra. Let $B$ be a Borel subgroup of $S{P}_n(\mathbb{C})$, $\mathfrak{b}=\mathrm{Lie}(B)$ an…