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

Published 11 May 2011 in math.CO and math.AG | (1105.2170v1)

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.

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