Expansion of k-Schur functions for maximal rectangles within the affine nilCoxeter algebra

@article{Berg2012ExpansionOK,
  title={Expansion of k-Schur functions for maximal rectangles within the affine nilCoxeter algebra},
  author={Chris Berg and Nantel Bergeron and Hugh Thomas and Mike Zabrocki},
  journal={The Journal of Combinatorics},
  year={2012},
  volume={3},
  pages={563-589}
}
We give several explicit combinatorial formulas for the expansion of k-Schur functions indexed by maximal rectangles in terms of the standard basis of the affine nilCoxeter algebra. Using our result, we also show a commutation relation of k-Schur functions corresponding to rectangles with the generators of the affine nilCoxeter algebra. 
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