Combinatorial expansions for families of non-commutative k-Schur functions

Abstract

We apply down operators in the affine nilCoxeter algebra to yield explicit combinatorial expansions for certain families of non-commutative k-Schur functions. This yields a combinatorial interpretation for a new family of k-Littlewood-Richardson coefficients.

21 pages. arXiv admin note: text overlap with arXiv:1203.4465