A tightness property of relatively smooth permutations
Combinatorics
2019-04-17 v1
Abstract
It is well known that many geometric properties of Schubert varieties of type can be interpreted combinatorially. Given two permutations we give a combinatorial consequence of the property that the smooth locus of the Schubert variety contains the Schubert cell . This is a necessary ingredient for the interpretation of recent representation-theoretic results of the author with M\'inguez in terms of identities of Kazhdan--Lusztig polynomials.
Cite
@article{arxiv.1710.06115,
title = {A tightness property of relatively smooth permutations},
author = {Erez Lapid},
journal= {arXiv preprint arXiv:1710.06115},
year = {2019}
}