Toric orbifolds associated with partitioned weight polytopes in classical types

Tatsuya Horiguchi, Mikiya Masuda, John Shareshian +1

Given a root system $\Phi$ of type $A_n$, $B_n$, $C_n$, or $D_n$ in Euclidean space $E$, let $W$ be the associated Weyl group. For a point $p\in E$ not orthogonal to any of the roots…