On involutions in the Weyl group and $B$-orbit closures in the orthogonal case

Mikhail V. Ignatyev

We study coadjoint $B$-orbits on ${\mathfrak{n}}^{\ast }$, where $B$ is a Borel subgroup of a complex orthogonal group $G$, and $\mathfrak{n}$ is the Lie algebra of the unipotent radical o…