Schur function analogs for a filtration of the symmetric function space

@article{Lapointe2003SchurFA,
  title={Schur function analogs for a filtration of the symmetric function space},
  author={Luc Lapointe and Jennifer Morse},
  journal={J. Comb. Theory, Ser. A},
  year={2003},
  volume={101},
  pages={191-224}
}
We consider a filtration of the symmetric function space given by Λ (k) t , the linear span of Hall-Littlewood polynomials indexed by partitions whose first part is not larger than k. We introduce symmetric functions called the k-Schur functions, providing an analog for the Schur functions in the subspaces Λ (k) t. We prove several properties for the k… CONTINUE READING