Mitosis algorithm for Grothendieck polynomials

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:154

Article

Tyurin, D. N.¹ 

[1] Natl Res Univ, Higher Sch Econ, Moscow, Russia

关键词: Grothendieck polynomials;    Pipe dreams;    Mitosis algorithm;   

DOI  :  10.1016/j.jcta.2017.08.015

来源: Elsevier

【 摘 要 】

The goal of the present paper is to extend the mitosis algorithm, originally developed by Ezra Miller and Allen Knutson for the case of Schubert polynomials, to the case of Grothendieck polynomials. In addition we will also use this algorithm to construct a short combinatorial proof of Fomin-Kirillov's formula for the coefficients of Grothendieck polynomials. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free