English

Bases for Quotients of Symmetric Polynomials

Combinatorics 2019-11-19 v1

Abstract

We create several families of bases for the symmetric polynomials. From these bases we prove that certain Schur symmetric polynomials form a basis for quotients of symmetric polynomials that generalize the cohomology and the quantum cohomology of the Grassmannian. Our work also provides an alternative proof of a result due to Grinberg.

Keywords

Cite

@article{arxiv.1911.07152,
  title  = {Bases for Quotients of Symmetric Polynomials},
  author = {Andrew Weinfeld},
  journal= {arXiv preprint arXiv:1911.07152},
  year   = {2019}
}