Expansions of k-Schur Functions in the Affine nilCoxeter Algebra
Keywords:
Schubert calculus, affine Grassmannian, nilCoxeter algebra, k-Schur
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 $C$.