English

Proper permutations, Schubert geometry, and randomness

Combinatorics 2023-02-07 v1

Abstract

We define and study proper permutations. Properness is a geometrically natural necessary criterion for a Schubert variety to be Levi-spherical. We prove the probability that a random permutation is proper goes to zero in the limit.

Keywords

Cite

@article{arxiv.2012.09749,
  title  = {Proper permutations, Schubert geometry, and randomness},
  author = {David Brewster and Reuven Hodges and Alexander Yong},
  journal= {arXiv preprint arXiv:2012.09749},
  year   = {2023}
}

Comments

8 pages

R2 v1 2026-06-23T21:03:19.134Z