中文

Schur positivity and Schur log-concavity

组合数学 2009-09-29 v3

摘要

We prove Okounkov's conjecture, a conjecture of Fomin-Fulton-Li-Poon, and a special case of Lascoux-Leclerc-Thibon's conjecture on Schur positivity and give several more general statements using a recent result of Rhoades and Skandera. An alternative proof of this result is provided. We also give an intriguing log-concavity property of Schur functions.

关键词

引用

@article{arxiv.math/0502446,
  title  = {Schur positivity and Schur log-concavity},
  author = {Thomas Lam and Alexander Postnikov and Pavlo Pylyavskyy},
  journal= {arXiv preprint arXiv:math/0502446},
  year   = {2009}
}

备注

9 pages