Combinatorics of the K-theory of affine Grassmannians

被引：5

作者：

Morse, Jennifer ^{[1
]}

机构：

[1] Drexel Univ, Dept Math, Philadelphia, PA 19104 USA

来源：

ADVANCES IN MATHEMATICS | 2012年 / 229卷 / 05期

基金：

美国国家科学基金会;

关键词：

Tableaux; Grothendieck polynomials; k-Schur functions; Affine Grassmannian; COHOMOLOGY;

D O I：

10.1016/j.aim.2011.11.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2950 / 2984

页数：35

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