English

Vexillary signed permutations revisited

Combinatorics 2018-06-05 v1 Algebraic Geometry

Abstract

We study the combinatorial properties of vexillary signed permutations, which are signed analogues of the vexillary permutations first considered by Lascoux and Sch\"utzenberger. We give several equivalent characterizations of vexillary signed permutations, including descriptions in terms of essential sets and pattern avoidance, and we relate them to the vexillary elements introduced by Billey and Lam.

Cite

@article{arxiv.1806.01230,
  title  = {Vexillary signed permutations revisited},
  author = {David Anderson and William Fulton},
  journal= {arXiv preprint arXiv:1806.01230},
  year   = {2018}
}

Comments

21 pages, 4 figures

R2 v1 2026-06-23T02:18:29.350Z