Bases for Quotients of Symmetric Polynomials

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.

References in corpus (1)

• A basis for a quotient of symmetric polynomials