Some conjectures regarding certain Schubert structure constants in Lie types B and D

Abstract

I give the details of some conjectures regarding Schubert calculus in Lie types B and D. Specifically, I conjecture rules for Schubert structure constants $c_{u,v}^w$ when $X_{w_{0}u}^v$ is a Richardson variety stable under the spherical Levi subgroup $\C^* \times SO(n-2,\C)$ of $SO(n,\C)$.

The details of these conjectures were previously contained in arXiv:1209.0739, but were removed from that paper on the advice of a referee. This was due to the fairly large amount of overhead (with respect to notation and definitions) required to state the conjectures in their precise form. I have broken the details off into this note, in order to make them available to the interested reader

References in corpus (1)

• Schubert calculus of Richardson varieties stable under spherical Levi subgroups

Cited by in corpus (1)

• Schubert calculus of Richardson varieties stable under spherical Levi subgroups