Comparing products of Schur functions and quasisymmetric functions

@inproceedings{Pylyavskyy2007ComparingPO,
  title={Comparing products of Schur functions and quasisymmetric functions},
  author={Pavlo Pylyavskyy and Alar Toomre and R. Stanley and Galya Dobrovolska},
  year={2007}
}
In this thesis a conjecture of Okounkov, a conjecture of Fomin-Fulton-Li-Poon, and a special case of Lascoux-Leclerc-Thibon's conjecture on Schur positivity of certain differences of products of Schur functions are proved. In the first part of the work a combinatorial method is developed that allows to prove weaker versions of those conjectures. In the… CONTINUE READING