Combinatorics of the K-theory of affine Grassmannians
Combinatorics
2009-07-02 v1
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.
Keywords
Cite
@article{arxiv.0907.0044,
title = {Combinatorics of the K-theory of affine Grassmannians},
author = {Jennifer Morse},
journal= {arXiv preprint arXiv:0907.0044},
year = {2009}
}