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

Mathematics – Combinatorics

Scientific paper

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24 pages

Scientific paper

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.

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