Combinatorial expansions for families of non-commutative k-Schur functions
Combinatorics
2012-08-27 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1208.4857,
title = {Combinatorial expansions for families of non-commutative k-Schur functions},
author = {Chris Berg and Franco Saliola and Luis Serrano},
journal= {arXiv preprint arXiv:1208.4857},
year = {2012}
}
Comments
21 pages. arXiv admin note: text overlap with arXiv:1203.4465