k-Double Schur functions and equivariant (co)homology of the affine Grassmannian

Abstract

The Schubert bases of the torus-equivariant homology and cohomology rings of the affine Grassmannian of the special linear group are realized by new families of symmetric functions called k-double Schur functions and affine double Schur functions.

24 pages

References in corpus (1)

• k-shape poset and branching of k-Schur functions

Cited by in corpus (1)

• Equivariant Pieri Rule for the homology of the affine Grassmannian