English

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

Combinatorics 2012-06-29 v3

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.

Keywords

Cite

@article{arxiv.1111.3588,
  title  = {Expansions of $k$-Schur functions in the affine nilCoxeter algebra},
  author = {Chris Berg and Nantel Bergeron and Steven Pon and Mike Zabrocki},
  journal= {arXiv preprint arXiv:1111.3588},
  year   = {2012}
}