English

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

Combinatorics 2013-02-14 v1 Algebraic Geometry Representation Theory

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 cu,vwc_{u,v}^w when Xw0uvX_{w_0u}^v is a Richardson variety stable under the spherical Levi subgroup \C×SO(n2,\C)\C^* \times SO(n-2,\C) of SO(n,\C)SO(n,\C).

Cite

@article{arxiv.1302.3157,
  title  = {Some conjectures regarding certain Schubert structure constants in Lie types B and D},
  author = {Benjamin J. Wyser},
  journal= {arXiv preprint arXiv:1302.3157},
  year   = {2013}
}

Comments

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

R2 v1 2026-06-21T23:25:34.882Z