Key polynomials are characters of Demazure modules for the general linear group that generalize the Schur polynomials. We prove a nonsymmetric generalization of Monk's rule by giving a cancellation-free, multiplicity-free formula for the key polynomial expansion of the product of an arbitrary key polynomial with a degree one key polynomial.
@article{10_37236_11425,
author = {Sami Assaf and Danjoseph Quijada},
title = {Monk's rule for {Demazure} characters of the general linear group},
journal = {The electronic journal of combinatorics},
year = {2023},
volume = {30},
number = {2},
doi = {10.37236/11425},
zbl = {1519.05245},
url = {http://geodesic.mathdoc.fr/articles/10.37236/11425/}
}
TY - JOUR
AU - Sami Assaf
AU - Danjoseph Quijada
TI - Monk's rule for Demazure characters of the general linear group
JO - The electronic journal of combinatorics
PY - 2023
VL - 30
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/11425/
DO - 10.37236/11425
ID - 10_37236_11425
ER -
%0 Journal Article
%A Sami Assaf
%A Danjoseph Quijada
%T Monk's rule for Demazure characters of the general linear group
%J The electronic journal of combinatorics
%D 2023
%V 30
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/11425/
%R 10.37236/11425
%F 10_37236_11425
Sami Assaf; Danjoseph Quijada. Monk's rule for Demazure characters of the general linear group. The electronic journal of combinatorics, Tome 30 (2023) no. 2. doi: 10.37236/11425
