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arXiv · 0907.0044

Combinatorics of the K-theory of affine Grassmannians

Jennifer Morse
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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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Jennifer Morse. 2009-07-01. Combinatorics of the K-theory of affine Grassmannians. https://arxiv.org/abs/0907.0044

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