Expansions of $k$-Schur functions in the affine nilCoxeter algebra

Abstract

We give a type free formula for the expansion of k-Schur functions indexed by fundamental coweights within the affine nilCoxeter algebra. Explicit combinatorics are developed in affine type C.

References in corpus (2)

• From double quantum Schubert polynomials to k-double Schur functions via the Toda lattice
• Expansion of $k$-Schur functions for maximal $k$-rectangles within the affine nilCoxeter algebra

Cited by in corpus (2)

• Pro-p Iwahori-Hecke algebras are Gorenstein
• The down operator and expansions of near rectangular k-Schur functions