Two new criteria for comparison in the Bruhat order
The electronic journal of combinatorics, Tome 11 (2004) no. 1
We give two new criteria by which pairs of permutations may be compared in defining the Bruhat order (of type $A$). One criterion utilizes totally nonnegative polynomials and the other utilizes Schur functions.
DOI :
10.37236/1847
Classification :
05E05, 05A15, 06A07
Mots-clés : Bruhat order, totally nonnegative polynomials, Schur functions
Mots-clés : Bruhat order, totally nonnegative polynomials, Schur functions
@article{10_37236_1847,
author = {Brian Drake and Sean Gerrish and Mark Skandera},
title = {Two new criteria for comparison in the {Bruhat} order},
journal = {The electronic journal of combinatorics},
year = {2004},
volume = {11},
number = {1},
doi = {10.37236/1847},
zbl = {1053.05117},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1847/}
}
Brian Drake; Sean Gerrish; Mark Skandera. Two new criteria for comparison in the Bruhat order. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1847
Cité par Sources :