Combinatorics of the K-theory of affine Grassmannians |
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Authors: | Jennifer Morse |
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Affiliation: | Department of Mathematics, Drexel University, Philadelphia, PA 19104, United States |
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Abstract: | We introduce a family of tableaux that simultaneously generalizes the tableaux used to characterize Grothendieck polynomials and k-Schur functions. We prove that the polynomials drawn from these tableaux are the affine Grothendieck polynomials and k-K-Schur functions – Schubert representatives for the K-theory of affine Grassmannians and their dual in the nil Hecke ring. We prove a number of combinatorial properties including Pieri rules. |
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