Pieri operators on the affine nilCoxeter algebra

2012/03/20 by Berg, Chris, Saliola, Franco, Serrano, Luis · 1 citation
#05E05 #14N15 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1203.4465

Abstract

We study a family of operators on the affine nilCoxeter algebra. We use these operators to prove conjectures of Lam, Lapointe, Morse, and Shimozono regarding strong Schur functions.

Cited by

• Simple modules for affine nilCoxeter algebras

Related

• The down operator and expansions of near rectangular k-Schur functions
• Combinatorial expansions for families of non-commutative k-Schur\n functions
• Pieri rule for the affine flag variety
• The m/n Pieri rule
• Raising operators and the Littlewood-Richardson polynomials