The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals

Jacopo Gandini, Andrea Maffei

Let $G$ be a simple algebraic group and $P$ a parabolic subgroup of $G$ with abelian unipotent radical $P^u$, and let $B$ be a Borel subgroup of $G$ contained in P. Let $\mathfrak{…