# ALGEBRAIC COMBINATORICS

Vexillary signed permutations revisited
Algebraic Combinatorics, Volume 3 (2020) no. 5, pp. 1041-1057.

We study the combinatorial properties of vexillary signed permutations, which are signed analogues of the vexillary permutations first considered by Lascoux and Schützenberger. 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.

Revised: 2020-03-25
Accepted: 2020-04-05
Published online: 2020-10-12
DOI: https://doi.org/10.5802/alco.122
Classification: 05E15,  05A05,  14M15
Keywords: Signed permutation, vexillary permutation, degeneracy locus, essential set.
@article{ALCO_2020__3_5_1041_0,
author = {Anderson, David and Fulton, William},
title = {Vexillary signed permutations revisited},
journal = {Algebraic Combinatorics},
pages = {1041--1057},
publisher = {MathOA foundation},
volume = {3},
number = {5},
year = {2020},
doi = {10.5802/alco.122},
language = {en},
url = {alco.centre-mersenne.org/item/ALCO_2020__3_5_1041_0/}
}
Anderson, David; Fulton, William. Vexillary signed permutations revisited. Algebraic Combinatorics, Volume 3 (2020) no. 5, pp. 1041-1057. doi : 10.5802/alco.122. https://alco.centre-mersenne.org/item/ALCO_2020__3_5_1041_0/

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