TY - JOUR
T1 - Key polynomials and a flagged Littlewood-Richardson rule
AU - Reiner, Victor
AU - Shimozono, Mark
PY - 1995/4
Y1 - 1995/4
N2 - This paper studies a family of polynomials called key polynomials, introduced by Demazure and investigated combinatorially by Lascoux and Schützenberger. We give two new combinatorial interpretations for these key polynomials and show how they provide the connection between two relatively recent combinatorial expressions for Schubert polynomials. We also give a flagged Littlewood-Richardson rule, an expansion of a flagged skew Schur function as a nonnegative sum of key polynomials.
AB - This paper studies a family of polynomials called key polynomials, introduced by Demazure and investigated combinatorially by Lascoux and Schützenberger. We give two new combinatorial interpretations for these key polynomials and show how they provide the connection between two relatively recent combinatorial expressions for Schubert polynomials. We also give a flagged Littlewood-Richardson rule, an expansion of a flagged skew Schur function as a nonnegative sum of key polynomials.
UR - http://www.scopus.com/inward/record.url?scp=0000770815&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000770815&partnerID=8YFLogxK
U2 - 10.1016/0097-3165(95)90083-7
DO - 10.1016/0097-3165(95)90083-7
M3 - Article
AN - SCOPUS:0000770815
SN - 0097-3165
VL - 70
SP - 107
EP - 143
JO - Journal of Combinatorial Theory, Series A
JF - Journal of Combinatorial Theory, Series A
IS - 1
ER -